312011144201113 has 16 divisors (see below), whose sum is σ = 356824824744960. Its totient is φ = 267257660999616.

The previous prime is 312011144201077. The next prime is 312011144201167. The reversal of 312011144201113 is 311102441110213.

It is not a de Polignac number, because 312011144201113 - 2³⁷ = 311873705247641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312011144201413) 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 15 ways as a sum of consecutive naturals, for example, 114855195 + ... + 117540367.

It is an arithmetic number, because the mean of its divisors is an integer number (22301551546560).

Almost surely, 2^{312011144201113} is an apocalyptic number.

It is an amenable number.

312011144201113 is a deficient number, since it is larger than the sum of its proper divisors (44813680543847).

312011144201113 is a wasteful number, since it uses less digits than its factorization.

312011144201113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696376.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 312011144201113 its reverse (311102441110213), we get a palindrome (623113585311326).

The spelling of 312011144201113 in words is "three hundred twelve trillion, eleven billion, one hundred forty-four million, two hundred one thousand, one hundred thirteen".