313011131200 has 168 divisors, whose sum is σ = 787568440608. Its totient is φ = 122398648320.

The previous prime is 313011131183. The next prime is 313011131221. The reversal of 313011131200 is 2131110313.

It is a super-2 number, since 2×313011131200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 23991879 + ... + 24004921.

Almost surely, 2^313011131200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313011131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393784220304).

313011131200 is an abundant number, since it is smaller than the sum of its proper divisors (474557309408).

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

313011131200 is a wasteful number, since it uses less digits than its factorization.

313011131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13401 (or 13386 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 313011131200 its reverse (2131110313), we get a palindrome (315142241513).

The spelling of 313011131200 in words is "three hundred thirteen billion, eleven million, one hundred thirty-one thousand, two hundred".