312131333011 has 8 divisors (see below), whose sum is σ = 312538104000. Its totient is φ = 311724664680.

The previous prime is 312131332979. The next prime is 312131333021. The reversal of 312131333011 is 110333131213.

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 312131333011 - 2⁵ = 312131332979 is a prime.

It is a super-2 number, since 2×312131333011² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312131333021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7451556 + ... + 7493326.

It is an arithmetic number, because the mean of its divisors is an integer number (39067263000).

Almost surely, 2^312131333011 is an apocalyptic number.

312131333011 is a deficient number, since it is larger than the sum of its proper divisors (406770989).

312131333011 is an equidigital number, since it uses as much as digits as its factorization.

312131333011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51329.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 312131333011 its reverse (110333131213), we get a palindrome (422464464224).

It can be divided in two parts, 31213 and 1333011, that added together give a square (1364224 = 1168²).

The spelling of 312131333011 in words is "three hundred twelve billion, one hundred thirty-one million, three hundred thirty-three thousand, eleven".