312131414233332 has 36 divisors (see below), whose sum is σ = 791691681520740. Its totient is φ = 103688706431232.

The previous prime is 312131414233297. The next prime is 312131414233333. The reversal of 312131414233332 is 233332414131213.

312131414233332 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 1 + 414 + 233 + 3 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 276153802751376 + 35977611481956 = 16617876^2 + 5998134^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131414233333) 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, 14795752357 + ... + 14795773452.

Almost surely, 2^{312131414233332} is an apocalyptic number.

It is an amenable number.

312131414233332 is an abundant number, since it is smaller than the sum of its proper divisors (479560267287408).

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

312131414233332 is a wasteful number, since it uses less digits than its factorization.

312131414233332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29591526112 (or 29591526107 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 312131414233332 its reverse (233332414131213), we get a palindrome (545463828364545).

The spelling of 312131414233332 in words is "three hundred twelve trillion, one hundred thirty-one billion, four hundred fourteen million, two hundred thirty-three thousand, three hundred thirty-two".