312000411431331 has 96 divisors (see below), whose sum is σ = 536806097551360. Its totient is φ = 177391597649184.

The previous prime is 312000411431327. The next prime is 312000411431419. The reversal of 312000411431331 is 133134114000213.

312000411431331 is a `hidden beast` number, since 3 + 1 + 200 + 0 + 4 + 114 + 313 + 31 = 666.

It is not a de Polignac number, because 312000411431331 - 2² = 312000411431327 is a prime.

It is a super-2 number, since 2×312000411431331² (a number of 30 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 = 312000411431295 and 312000411431304.

It is not an unprimeable number, because it can be changed into a prime (312000411432331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 712529046 + ... + 712966788.

Almost surely, 2^{312000411431331} is an apocalyptic number.

312000411431331 is a deficient number, since it is larger than the sum of its proper divisors (224805686120029).

312000411431331 is a wasteful number, since it uses less digits than its factorization.

312000411431331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439867 (or 439855 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 312000411431331 its reverse (133134114000213), we get a palindrome (445134525431544).

The spelling of 312000411431331 in words is "three hundred twelve trillion, four hundred eleven million, four hundred thirty-one thousand, three hundred thirty-one".