313123120400 has 30 divisors (see below), whose sum is σ = 752278297722. Its totient is φ = 125249248000.

The previous prime is 313123120367. The next prime is 313123120433. The reversal of 313123120400 is 4021321313.

It is an interprime number because it is at equal distance from previous prime (313123120367) and next prime (313123120433).

It can be written as a sum of positive squares in 3 ways, for example, as 950612224 + 312172508176 = 30832^2 + 558724^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 391403501 + ... + 391404300.

Almost surely, 2^313123120400 is an apocalyptic number.

It is an amenable number.

313123120400 is an abundant number, since it is smaller than the sum of its proper divisors (439155177322).

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

313123120400 is a wasteful number, since it uses less digits than its factorization.

313123120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782807819 (or 782807808 counting only the distinct ones).

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

Adding to 313123120400 its reverse (4021321313), we get a palindrome (317144441713).

The spelling of 313123120400 in words is "three hundred thirteen billion, one hundred twenty-three million, one hundred twenty thousand, four hundred".