312351666153213 has 8 divisors (see below), whose sum is σ = 416486220228000. Its totient is φ = 208225778090288.

The previous prime is 312351666153053. The next prime is 312351666153223.

312351666153213 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312351666153213 - 2²⁵ = 312351632598781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312351666153223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2166418863 + ... + 2166563036.

It is an arithmetic number, because the mean of its divisors is an integer number (52060777528500).

Almost surely, 2^{312351666153213} is an apocalyptic number.

It is an amenable number.

312351666153213 is a deficient number, since it is larger than the sum of its proper divisors (104134554074787).

312351666153213 is a wasteful number, since it uses less digits than its factorization.

312351666153213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333005931.

The product of its digits is 1749600, while the sum is 48.

The spelling of 312351666153213 in words is "three hundred twelve trillion, three hundred fifty-one billion, six hundred sixty-six million, one hundred fifty-three thousand, two hundred thirteen".