312231132213 has 256 divisors, whose sum is σ = 620943998976. Its totient is φ = 134150307840.

The previous prime is 312231132209. The next prime is 312231132221.

312231132213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312231132213 - 2² = 312231132209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312231132413) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 88775931 + ... + 88779447.

It is an arithmetic number, because the mean of its divisors is an integer number (2425562496).

Almost surely, 2^312231132213 is an apocalyptic number.

312231132213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312231132213 is a deficient number, since it is larger than the sum of its proper divisors (308712866763).

312231132213 is a wasteful number, since it uses less digits than its factorization.

312231132213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652.

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 312231 and 132213, that added together give a palindrome (444444).

The spelling of 312231132213 in words is "three hundred twelve billion, two hundred thirty-one million, one hundred thirty-two thousand, two hundred thirteen".