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13233320013 = 3171967317643
BaseRepresentation
bin11000101001100010…
…00111000001001101
31021011020211022100110
430110301013001031
5204100212220023
610025043550233
7645635235624
oct142461070115
937136738313
1013233320013
115680956211
12269398b379
13132b824194
148d77426bb
15526b8da93
hex314c4704d

13233320013 has 64 divisors (see below), whose sum is σ = 20053232640. Its totient is φ = 7712381952.

The previous prime is 13233319993. The next prime is 13233320027. The reversal of 13233320013 is 31002333231.

It is not a de Polignac number, because 13233320013 - 222 = 13229125709 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233320413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20580270 + ... + 20580912.

It is an arithmetic number, because the mean of its divisors is an integer number (313331760).

Almost surely, 213233320013 is an apocalyptic number.

It is an amenable number.

13233320013 is a deficient number, since it is larger than the sum of its proper divisors (6819912627).

13233320013 is a wasteful number, since it uses less digits than its factorization.

13233320013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13233320013 its reverse (31002333231), we get a palindrome (44235653244).

The spelling of 13233320013 in words is "thirteen billion, two hundred thirty-three million, three hundred twenty thousand, thirteen".

Divisors: 1 3 17 19 51 57 67 201 317 323 643 951 969 1139 1273 1929 3417 3819 5389 6023 10931 12217 16167 18069 21239 21641 32793 36651 43081 63717 64923 102391 129243 203831 207689 307173 361063 403541 611493 623067 732377 818539 1083189 1210623 2197131 2455617 3465127 3872789 6860197 10395381 11618367 13656677 13915163 20580591 40970031 41745489 65837413 197512239 232163509 259476863 696490527 778430589 4411106671 13233320013