313001120000 has 90 divisors (see below), whose sum is σ = 780724961478. Its totient is φ = 125200384000.

The previous prime is 313001119997. The next prime is 313001120023. The reversal of 313001120000 is 21100313.

It can be written as a sum of positive squares in 5 ways, for example, as 154329551104 + 158671568896 = 392848^2 + 398336^2 .

It is a super-2 number, since 2×313001120000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 818129 + ... + 1138128.

Almost surely, 2^313001120000 is an apocalyptic number.

It is an amenable number.

313001120000 is an abundant number, since it is smaller than the sum of its proper divisors (467723841478).

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

313001120000 is an frugal number, since it uses more digits than its factorization.

313001120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956293 (or 1956264 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 313001120000 its reverse (21100313), we get a palindrome (313022220313).

The spelling of 313001120000 in words is "three hundred thirteen billion, one million, one hundred twenty thousand".