312132413031407 has 24 divisors (see below), whose sum is σ = 327995510762304. Its totient is φ = 296895800414592.

The previous prime is 312132413031403. The next prime is 312132413031409. The reversal of 312132413031407 is 704130314231213.

It is a happy number.

It is not a de Polignac number, because 312132413031407 - 2² = 312132413031403 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132413031403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53663093 + ... + 59194529.

It is an arithmetic number, because the mean of its divisors is an integer number (13666479615096).

Almost surely, 2^{312132413031407} is an apocalyptic number.

312132413031407 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

312132413031407 is a deficient number, since it is larger than the sum of its proper divisors (15863097730897).

312132413031407 is an equidigital number, since it uses as much as digits as its factorization.

312132413031407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532435 (or 5532398 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 312132413031407 in words is "three hundred twelve trillion, one hundred thirty-two billion, four hundred thirteen million, thirty-one thousand, four hundred seven".