312433304013 has 24 divisors (see below), whose sum is σ = 462020109408. Its totient is φ = 203342563872.

The previous prime is 312433303993. The next prime is 312433304021. The reversal of 312433304013 is 310403334213.

312433304013 is a `hidden beast` number, since 312 + 4 + 3 + 330 + 4 + 0 + 13 = 666.

It is not a de Polignac number, because 312433304013 - 2²² = 312429109709 is a prime.

It is a super-2 number, since 2×312433304013² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312433304063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570706 + ... + 974972.

It is an arithmetic number, because the mean of its divisors is an integer number (19250837892).

Almost surely, 2^312433304013 is an apocalyptic number.

It is an amenable number.

312433304013 is a deficient number, since it is larger than the sum of its proper divisors (149586805395).

312433304013 is a wasteful number, since it uses less digits than its factorization.

312433304013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406313 (or 406310 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 312433304013 its reverse (310403334213), we get a palindrome (622836638226).

The spelling of 312433304013 in words is "three hundred twelve billion, four hundred thirty-three million, three hundred four thousand, thirteen".