312144011112431 has 16 divisors (see below), whose sum is σ = 314922696827904. Its totient is φ = 309370370125824.

The previous prime is 312144011112331. The next prime is 312144011112463. The reversal of 312144011112431 is 134211110441213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312144011112431 is a prime.

It is a super-2 number, since 2×312144011112431² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312144011112394 and 312144011112403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312144011112331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3145516991 + ... + 3145616223.

It is an arithmetic number, because the mean of its divisors is an integer number (19682668551744).

Almost surely, 2^{312144011112431} is an apocalyptic number.

312144011112431 is a deficient number, since it is larger than the sum of its proper divisors (2778685715473).

312144011112431 is a wasteful number, since it uses less digits than its factorization.

312144011112431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124370.

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 312144011112431 its reverse (134211110441213), we get a palindrome (446355121553644).

The spelling of 312144011112431 in words is "three hundred twelve trillion, one hundred forty-four billion, eleven million, one hundred twelve thousand, four hundred thirty-one".