313104413101200 has 120 divisors (see below), whose sum is σ = 1146260346660288. Its totient is φ = 71566722992640.

The previous prime is 313104413101159. The next prime is 313104413101211. The reversal of 313104413101200 is 2101314401313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18637159047 + ... + 18637175846.

Almost surely, 2^{313104413101200} is an apocalyptic number.

313104413101200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313104413101200 is an abundant number, since it is smaller than the sum of its proper divisors (833155933559088).

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

313104413101200 is a wasteful number, since it uses less digits than its factorization.

313104413101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37274334921 (or 37274334910 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 313104413101200 its reverse (2101314401313), we get a palindrome (315205727502513).

The spelling of 313104413101200 in words is "three hundred thirteen trillion, one hundred four billion, four hundred thirteen million, one hundred one thousand, two hundred".