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13033021201332 = 223117111711187561
BaseRepresentation
bin1011110110100111110010…
…0110010101101110110100
31201010221111122201100202020
42331221330212111232310
53202013111411420312
643415142015313140
72513414262234366
oct275517446255664
951127448640666
1013033021201332
114175300775030
121565a7851b7b0
13737015c48bc2
14330b317d4d36
1517904364178c
hexbda7c995bb4

13033021201332 has 96 divisors (see below), whose sum is σ = 33670973887488. Its totient is φ = 3890446560000.

The previous prime is 13033021201297. The next prime is 13033021201393. The reversal of 13033021201332 is 23310212033031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10380832 + ... + 11568392.

It is an arithmetic number, because the mean of its divisors is an integer number (350739311328).

Almost surely, 213033021201332 is an apocalyptic number.

13033021201332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13033021201332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16835486943744).

13033021201332 is an abundant number, since it is smaller than the sum of its proper divisors (20637952686156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13033021201332 is a wasteful number, since it uses less digits than its factorization.

13033021201332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188821 (or 1188819 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13033021201332 its reverse (23310212033031), we get a palindrome (36343233234363).

The spelling of 13033021201332 in words is "thirteen trillion, thirty-three billion, twenty-one million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1171 1562 2342 2343 3124 3513 4684 4686 7026 9372 12881 14052 25762 38643 51524 77286 83141 154572 166282 249423 332564 498846 914551 997692 1187561 1829102 2375122 2743653 3562683 3658204 4750244 5487306 7125366 10974612 13063171 14250732 26126342 39189513 52252684 78379026 84316831 156758052 168633662 252950493 337267324 505900986 927485141 1011801972 1390633931 1854970282 2781267862 2782455423 3709940564 4171901793 5562535724 5564910846 8343803586 11129821692 15296973241 16687607172 30593946482 45890919723 61187892964 91781839446 98735009101 183563678892 197470018202 296205027303 394940036404 592410054606 1086085100111 1184820109212 2172170200222 3258255300333 4344340400444 6516510600666 13033021201332