13120130320400 has 60 divisors (see below), whose sum is σ = 31833203421444. Its totient is φ = 5196091200000.

The previous prime is 13120130320397. The next prime is 13120130320433. The reversal of 13120130320400 is 402303102131.

It can be written as a sum of positive squares in 6 ways, for example, as 208699130896 + 12911431189504 = 456836^2 + 3593248^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162337451 + ... + 162418250.

Almost surely, 2^{13120130320400} is an apocalyptic number.

13120130320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120130320400 is an abundant number, since it is smaller than the sum of its proper divisors (18713073101044).

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

13120130320400 is a wasteful number, since it uses less digits than its factorization.

13120130320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324755820 (or 324755809 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13120130320400 its reverse (402303102131), we get a palindrome (13522433422531).

The spelling of 13120130320400 in words is "thirteen trillion, one hundred twenty billion, one hundred thirty million, three hundred twenty thousand, four hundred".