312132131223021 has 24 divisors (see below), whose sum is σ = 450951877991160. Its totient is φ = 208044543384576.

The previous prime is 312132131222981. The next prime is 312132131223067. The reversal of 312132131223021 is 120322131231213.

312132131223021 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 321 + 31 + 2 + 2 + 302 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98302049438121 + 213830081784900 = 9914739^2 + 14622930^2 .

It is not a de Polignac number, because 312132131223021 - 2⁷ = 312132131222893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132131225021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 898211115 + ... + 898558551.

It is an arithmetic number, because the mean of its divisors is an integer number (18789661582965).

Almost surely, 2^{312132131223021} is an apocalyptic number.

It is an amenable number.

312132131223021 is a deficient number, since it is larger than the sum of its proper divisors (138819746768139).

312132131223021 is a wasteful number, since it uses less digits than its factorization.

312132131223021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368045 (or 368042 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 312132131223021 its reverse (120322131231213), we get a palindrome (432454262454234).

The spelling of 312132131223021 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred thirty-one million, two hundred twenty-three thousand, twenty-one".