312131341041432 has 64 divisors (see below), whose sum is σ = 851269292328960. Its totient is φ = 94585032796800.

The previous prime is 312131341041419. The next prime is 312131341041437. The reversal of 312131341041432 is 234140143131213.

It is a happy number.

It is a super-2 number, since 2×312131341041432² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 312131341041393 and 312131341041402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131341041437) 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, 137573257 + ... + 139823687.

It is an arithmetic number, because the mean of its divisors is an integer number (13301082692640).

Almost surely, 2^{312131341041432} is an apocalyptic number.

It is an amenable number.

312131341041432 is an abundant number, since it is smaller than the sum of its proper divisors (539137951287528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312131341041432 is a wasteful number, since it uses less digits than its factorization.

312131341041432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775824 (or 2775820 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 312131341041432 its reverse (234140143131213), we get a palindrome (546271484172645).

The spelling of 312131341041432 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred forty-one million, forty-one thousand, four hundred thirty-two".