312134041431 has 32 divisors (see below), whose sum is σ = 469107302400. Its totient is φ = 205100436960.

The previous prime is 312134041409. The next prime is 312134041477. The reversal of 312134041431 is 134140431213.

312134041431 is a `hidden beast` number, since 3 + 1 + 213 + 4 + 0 + 414 + 31 = 666.

It is not a de Polignac number, because 312134041431 - 2⁹ = 312134040919 is a prime.

It is a super-2 number, since 2×312134041431² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 312134041395 and 312134041404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312134041631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284470 + ... + 839756.

It is an arithmetic number, because the mean of its divisors is an integer number (14659603200).

Almost surely, 2^312134041431 is an apocalyptic number.

312134041431 is a deficient number, since it is larger than the sum of its proper divisors (156973260969).

312134041431 is a wasteful number, since it uses less digits than its factorization.

312134041431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555596 (or 555590 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 312134041431 its reverse (134140431213), we get a palindrome (446274472644).

The spelling of 312134041431 in words is "three hundred twelve billion, one hundred thirty-four million, forty-one thousand, four hundred thirty-one".