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13132001310320 = 245251653984129
BaseRepresentation
bin1011111100011000100001…
…0001011111011001110000
31201111101222202020212112202
42333012020101133121300
53210123314313412240
643532431430442332
72523520143255614
oct277061021373160
951441882225482
1013132001310320
1142032834309a2
1215810a08033a8
1374345b375829
1433584120b344
1517b8d806b315
hexbf18845f670

13132001310320 has 40 divisors (see below), whose sum is σ = 30653544141360. Its totient is φ = 5231873024000.

The previous prime is 13132001310301. The next prime is 13132001310341. The reversal of 13132001310320 is 2301310023131.

13132001310320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13132001310292 and 13132001310301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326971985 + ... + 327012144.

It is an arithmetic number, because the mean of its divisors is an integer number (766338603534).

Almost surely, 213132001310320 is an apocalyptic number.

13132001310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132001310320 is an abundant number, since it is smaller than the sum of its proper divisors (17521542831040).

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

13132001310320 is a wasteful number, since it uses less digits than its factorization.

13132001310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653984393 (or 653984387 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13132001310320 its reverse (2301310023131), we get a palindrome (15433311333451).

The spelling of 13132001310320 in words is "thirteen trillion, one hundred thirty-two billion, one million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 251 502 1004 1255 2008 2510 4016 5020 10040 20080 653984129 1307968258 2615936516 3269920645 5231873032 6539841290 10463746064 13079682580 26159365160 52318730320 164150016379 328300032758 656600065516 820750081895 1313200131032 1641500163790 2626400262064 3283000327580 6566000655160 13132001310320