312131403102300 has 144 divisors (see below), whose sum is σ = 909228404241024. Its totient is φ = 82671835680000.

The previous prime is 312131403102271. The next prime is 312131403102317. The reversal of 312131403102300 is 3201304131213.

It is a super-2 number, since 2×312131403102300² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26058930 + ... + 36101670.

Almost surely, 2^{312131403102300} is an apocalyptic number.

312131403102300 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 312131403102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454614202120512).

312131403102300 is an abundant number, since it is smaller than the sum of its proper divisors (597097001138724).

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

312131403102300 is a wasteful number, since it uses less digits than its factorization.

312131403102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10043460 (or 10043453 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 312131403102300 its reverse (3201304131213), we get a palindrome (315332707233513).

The spelling of 312131403102300 in words is "three hundred twelve trillion, one hundred thirty-one billion, four hundred three million, one hundred two thousand, three hundred".