312331132001 has 16 divisors (see below), whose sum is σ = 358500971520. Its totient is φ = 266550488640.

The previous prime is 312331131953. The next prime is 312331132013. The reversal of 312331132001 is 100231133213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312331132001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312331132081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2619440 + ... + 2736078.

It is an arithmetic number, because the mean of its divisors is an integer number (22406310720).

Almost surely, 2^312331132001 is an apocalyptic number.

It is an amenable number.

312331132001 is a deficient number, since it is larger than the sum of its proper divisors (46169839519).

312331132001 is a wasteful number, since it uses less digits than its factorization.

312331132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118304.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 312331132001 its reverse (100231133213), we get a palindrome (412562265214).

The spelling of 312331132001 in words is "three hundred twelve billion, three hundred thirty-one million, one hundred thirty-two thousand, one".