311213131320 has 256 divisors, whose sum is σ = 1149886080000. Its totient is φ = 65617330176.

The previous prime is 311213131301. The next prime is 311213131331. The reversal of 311213131320 is 23131312113.

It is a happy number.

311213131320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×311213131320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17233656 + ... + 17251704.

It is an arithmetic number, because the mean of its divisors is an integer number (4491742500).

Almost surely, 2^311213131320 is an apocalyptic number.

311213131320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311213131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574943040000).

311213131320 is an abundant number, since it is smaller than the sum of its proper divisors (838672948680).

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

311213131320 is a wasteful number, since it uses less digits than its factorization.

311213131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19662 (or 19658 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 311213131320 its reverse (23131312113), we get a palindrome (334344443433).

The spelling of 311213131320 in words is "three hundred eleven billion, two hundred thirteen million, one hundred thirty-one thousand, three hundred twenty".