312344101114431 has 64 divisors (see below), whose sum is σ = 446968162713600. Its totient is φ = 193445176406400.

The previous prime is 312344101114391. The next prime is 312344101114447. The reversal of 312344101114431 is 134411101443213.

It is not a de Polignac number, because 312344101114431 - 2⁷ = 312344101114303 is a prime.

It is a super-2 number, since 2×312344101114431² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312344101114392 and 312344101114401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312344101114531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 685171666 + ... + 685627376.

It is an arithmetic number, because the mean of its divisors is an integer number (6983877542400).

Almost surely, 2^{312344101114431} is an apocalyptic number.

312344101114431 is a deficient number, since it is larger than the sum of its proper divisors (134624061599169).

312344101114431 is a wasteful number, since it uses less digits than its factorization.

312344101114431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456980.

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 312344101114431 its reverse (134411101443213), we get a palindrome (446755202557644).

The spelling of 312344101114431 in words is "three hundred twelve trillion, three hundred forty-four billion, one hundred one million, one hundred fourteen thousand, four hundred thirty-one".