312320113001001 has 48 divisors (see below), whose sum is σ = 533362010108928. Its totient is φ = 172336937212800.

The previous prime is 312320113000979. The next prime is 312320113001011. The reversal of 312320113001001 is 100100311023213.

312320113001001 is a `hidden beast` number, since 31 + 2 + 320 + 1 + 1 + 300 + 10 + 0 + 1 = 666.

It is not a de Polignac number, because 312320113001001 - 2⁷ = 312320113000873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312320113001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172546666 + ... + 174347331.

It is an arithmetic number, because the mean of its divisors is an integer number (11111708543936).

Almost surely, 2^{312320113001001} is an apocalyptic number.

312320113001001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312320113001001 is a deficient number, since it is larger than the sum of its proper divisors (221041897107927).

312320113001001 is a wasteful number, since it uses less digits than its factorization.

312320113001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346894502 (or 346894499 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312320113001001 its reverse (100100311023213), we get a palindrome (412420424024214).

The spelling of 312320113001001 in words is "three hundred twelve trillion, three hundred twenty billion, one hundred thirteen million, one thousand, one".