313130000013000 has 128 divisors (see below), whose sum is σ = 976975376832000. Its totient is φ = 83500497715200.

The previous prime is 313130000012993. The next prime is 313130000013001. The reversal of 313130000013000 is 310000031313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (313130000013001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335290696 + ... + 336223304.

It is an arithmetic number, because the mean of its divisors is an integer number (7632620131500).

Almost surely, 2^{313130000013000} is an apocalyptic number.

313130000013000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313130000013000 is an abundant number, since it is smaller than the sum of its proper divisors (663845376819000).

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

313130000013000 is a wasteful number, since it uses less digits than its factorization.

313130000013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044552 (or 1044538 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 313130000013000 its reverse (310000031313), we get a palindrome (313440000044313).

The spelling of 313130000013000 in words is "three hundred thirteen trillion, one hundred thirty billion, thirteen thousand".