13021610801328 has 90 divisors (see below), whose sum is σ = 38461395722724. Its totient is φ = 4112087605056.

The previous prime is 13021610801293. The next prime is 13021610801351. The reversal of 13021610801328 is 82310801612031.

13021610801328 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 1 + 610 + 8 + 0 + 1 + 32 + 8 = 666.

It is a super-2 number, since 2×13021610801328² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13021610801292 and 13021610801301.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 125194350 + ... + 125298317.

Almost surely, 2^{13021610801328} is an apocalyptic number.

13021610801328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13021610801328 is an abundant number, since it is smaller than the sum of its proper divisors (25439784921396).

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

13021610801328 is a wasteful number, since it uses less digits than its factorization.

13021610801328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250492719 (or 250492691 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13021610801328 in words is "thirteen trillion, twenty-one billion, six hundred ten million, eight hundred one thousand, three hundred twenty-eight".