312131402241407 has 16 divisors (see below), whose sum is σ = 359291835302400. Its totient is φ = 265613569048800.

The previous prime is 312131402241317. The next prime is 312131402241523. The reversal of 312131402241407 is 704142204131213.

It is a de Polignac number, because none of the positive numbers 2^k-312131402241407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131402241907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90698069 + ... + 94076577.

It is an arithmetic number, because the mean of its divisors is an integer number (22455739706400).

Almost surely, 2^{312131402241407} is an apocalyptic number.

312131402241407 is a deficient number, since it is larger than the sum of its proper divisors (47160433060993).

312131402241407 is a wasteful number, since it uses less digits than its factorization.

312131402241407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473606.

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 312131402241407 in words is "three hundred twelve trillion, one hundred thirty-one billion, four hundred two million, two hundred forty-one thousand, four hundred seven".