312667545766213 has 12 divisors (see below), whose sum is σ = 347078629083564. Its totient is φ = 281428934072000.

The previous prime is 312667545766183. The next prime is 312667545766241.

312667545766213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 242936394897889 + 69731150868324 = 15586417^2 + 8350518^2 .

It is not a de Polignac number, because 312667545766213 - 2¹³ = 312667545758021 is a prime.

It is a super-2 number, since 2×312667545766213² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312667545706213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12792212056 + ... + 12792236497.

It is an arithmetic number, because the mean of its divisors is an integer number (28923219090297).

Almost surely, 2^{312667545766213} is an apocalyptic number.

It is an amenable number.

312667545766213 is a deficient number, since it is larger than the sum of its proper divisors (34411083317351).

312667545766213 is a wasteful number, since it uses less digits than its factorization.

312667545766213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25584448676 (or 25584448665 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 64.

The spelling of 312667545766213 in words is "three hundred twelve trillion, six hundred sixty-seven billion, five hundred forty-five million, seven hundred sixty-six thousand, two hundred thirteen".