312313131100 has 72 divisors (see below), whose sum is σ = 689456653200. Its totient is φ = 122763264000.

The previous prime is 312313131089. The next prime is 312313131103. The reversal of 312313131100 is 1131313213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312313131103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19633150 + ... + 19649050.

It is an arithmetic number, because the mean of its divisors is an integer number (9575786850).

Almost surely, 2^312313131100 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 312313131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344728326600).

312313131100 is an abundant number, since it is smaller than the sum of its proper divisors (377143522100).

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

312313131100 is a wasteful number, since it uses less digits than its factorization.

312313131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19303 (or 19296 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 312313131100 its reverse (1131313213), we get a palindrome (313444444313).

The spelling of 312313131100 in words is "three hundred twelve billion, three hundred thirteen million, one hundred thirty-one thousand, one hundred".