312031311234100 has 36 divisors (see below), whose sum is σ = 678576726270828. Its totient is φ = 124541781472000.

The previous prime is 312031311234091. The next prime is 312031311234103. The reversal of 312031311234100 is 1432113130213.

It can be written as a sum of positive squares in 6 ways, for example, as 84000231146896 + 228031080087204 = 9165164^2 + 15100698^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312031311234103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3384241441 + ... + 3384333640.

It is an arithmetic number, because the mean of its divisors is an integer number (18849353507523).

Almost surely, 2^{312031311234100} is an apocalyptic number.

It is an amenable number.

312031311234100 is an abundant number, since it is smaller than the sum of its proper divisors (366545415036728).

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

312031311234100 is a wasteful number, since it uses less digits than its factorization.

312031311234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768575556 (or 6768575549 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 312031311234100 its reverse (1432113130213), we get a palindrome (313463424364313).

The spelling of 312031311234100 in words is "three hundred twelve trillion, thirty-one billion, three hundred eleven million, two hundred thirty-four thousand, one hundred".