312131300200993 has 8 divisors (see below), whose sum is σ = 384161600247488. Its totient is φ = 246961028730384.

The previous prime is 312131300200963. The next prime is 312131300200999. The reversal of 312131300200993 is 399002003131213.

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 312131300200993 - 2⁵ = 312131300200961 is a prime.

It is a super-3 number, since 3×312131300200993³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (312131300200999) 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, 1715007143871 + ... + 1715007144052.

It is an arithmetic number, because the mean of its divisors is an integer number (48020200030936).

Almost surely, 2^{312131300200993} is an apocalyptic number.

It is an amenable number.

312131300200993 is a deficient number, since it is larger than the sum of its proper divisors (72030300046495).

312131300200993 is a wasteful number, since it uses less digits than its factorization.

312131300200993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430014287943.

The product of its (nonzero) digits is 26244, while the sum is 37.

The spelling of 312131300200993 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred million, two hundred thousand, nine hundred ninety-three".