102513328712352 has 72 divisors (see below), whose sum is σ = 291571870393440. Its totient is φ = 34165296604800.

The previous prime is 102513328712323. The next prime is 102513328712359. The reversal of 102513328712352 is 253217823315201.

102513328712352 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 1 + 3 + 3 + 287 + 12 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 102513328712298 and 102513328712307.

It is not an unprimeable number, because it can be changed into a prime (102513328712359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28579774 + ... + 31966077.

It is an arithmetic number, because the mean of its divisors is an integer number (4049609311020).

Almost surely, 2^{102513328712352} is an apocalyptic number.

102513328712352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102513328712352 is an abundant number, since it is smaller than the sum of its proper divisors (189058541681088).

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

102513328712352 is a wasteful number, since it uses less digits than its factorization.

102513328712352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60551746 (or 60551735 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 102513328712352 in words is "one hundred two trillion, five hundred thirteen billion, three hundred twenty-eight million, seven hundred twelve thousand, three hundred fifty-two".