312141141214431 has 96 divisors (see below), whose sum is σ = 443078672375808. Its totient is φ = 195429963755520.

The previous prime is 312141141214429. The next prime is 312141141214451. The reversal of 312141141214431 is 134412141141213.

It is a happy number.

It is not a de Polignac number, because 312141141214431 - 2¹ = 312141141214429 is a prime.

It is a super-2 number, since 2×312141141214431² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312141141214392 and 312141141214401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312141141214411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80802778606 + ... + 80802782468.

It is an arithmetic number, because the mean of its divisors is an integer number (4615402837248).

Almost surely, 2^{312141141214431} is an apocalyptic number.

312141141214431 is a deficient number, since it is larger than the sum of its proper divisors (130937531161377).

312141141214431 is a wasteful number, since it uses less digits than its factorization.

312141141214431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349 (or 5330 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

Adding to 312141141214431 its reverse (134412141141213), we get a palindrome (446553282355644).

The spelling of 312141141214431 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred forty-one million, two hundred fourteen thousand, four hundred thirty-one".