312013317 has 32 divisors (see below), whose sum is σ = 520012800. Its totient is φ = 161665920.

The previous prime is 312013313. The next prime is 312013337. The reversal of 312013317 is 713310213.

It is not a de Polignac number, because 312013317 - 2² = 312013313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 312013293 and 312013302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312013313) 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, 100809 + ... + 103857.

It is an arithmetic number, because the mean of its divisors is an integer number (16250400).

Almost surely, 2^312013317 is an apocalyptic number.

It is an amenable number.

312013317 is a deficient number, since it is larger than the sum of its proper divisors (207999483).

312013317 is a wasteful number, since it uses less digits than its factorization.

312013317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 312013317 is about 17663.8986919649. The cubic root of 312013317 is about 678.2519382012.

The spelling of 312013317 in words is "three hundred twelve million, thirteen thousand, three hundred seventeen".