311113121131320 has 64 divisors (see below), whose sum is σ = 934582159088640. Its totient is φ = 82853028240000.

The previous prime is 311113121131313. The next prime is 311113121131321. The reversal of 311113121131320 is 23131121311113.

It is a super-2 number, since 2×311113121131320² (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 (311113121131321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1726014636 + ... + 1726194875.

It is an arithmetic number, because the mean of its divisors is an integer number (14602846235760).

Almost surely, 2^{311113121131320} is an apocalyptic number.

311113121131320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311113121131320 is an abundant number, since it is smaller than the sum of its proper divisors (623469037957320).

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

311113121131320 is a wasteful number, since it uses less digits than its factorization.

311113121131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452210276 (or 3452210272 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 311113121131320 its reverse (23131121311113), we get a palindrome (334244242442433).

The spelling of 311113121131320 in words is "three hundred eleven trillion, one hundred thirteen billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred twenty".