313134102112400 has 60 divisors (see below), whose sum is σ = 785013579492672. Its totient is φ = 119807830369920.

The previous prime is 313134102112369. The next prime is 313134102112451. The reversal of 313134102112400 is 4211201431313.

It is a self number, because there is not a number n which added to its sum of digits gives 313134102112400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17018148524 + ... + 17018166923.

Almost surely, 2^{313134102112400} is an apocalyptic number.

It is an amenable number.

313134102112400 is an abundant number, since it is smaller than the sum of its proper divisors (471879477380272).

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

313134102112400 is a wasteful number, since it uses less digits than its factorization.

313134102112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34036315488 (or 34036315477 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 313134102112400 its reverse (4211201431313), we get a palindrome (317345303543713).

The spelling of 313134102112400 in words is "three hundred thirteen trillion, one hundred thirty-four billion, one hundred two million, one hundred twelve thousand, four hundred".