311321130123120 has 160 divisors (see below), whose sum is σ = 1040382401931264. Its totient is φ = 76555563955200.

The previous prime is 311321130123109. The next prime is 311321130123127. The reversal of 311321130123120 is 21321031123113.

It is a super-2 number, since 2×311321130123120² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311321130123127) 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, 47252386 + ... + 53436225.

Almost surely, 2^{311321130123120} is an apocalyptic number.

311321130123120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311321130123120 is an abundant number, since it is smaller than the sum of its proper divisors (729061271808144).

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

311321130123120 is a wasteful number, since it uses less digits than its factorization.

311321130123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100689631 (or 100689625 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 311321130123120 its reverse (21321031123113), we get a palindrome (332642161246233).

The spelling of 311321130123120 in words is "three hundred eleven trillion, three hundred twenty-one billion, one hundred thirty million, one hundred twenty-three thousand, one hundred twenty".