313120413 has 48 divisors (see below), whose sum is σ = 485761536. Its totient is φ = 193929120.

The previous prime is 313120397. The next prime is 313120417. The reversal of 313120413 is 314021313.

It is not a de Polignac number, because 313120413 - 2⁴ = 313120397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313120417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1483878 + ... + 1484088.

It is an arithmetic number, because the mean of its divisors is an integer number (10120032).

Almost surely, 2^313120413 is an apocalyptic number.

It is an amenable number.

313120413 is a deficient number, since it is larger than the sum of its proper divisors (172641123).

313120413 is a wasteful number, since it uses less digits than its factorization.

313120413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313120413 is about 17695.2087583052. The cubic root of 313120413 is about 679.0531899454.

Adding to 313120413 its reverse (314021313), we get a palindrome (627141726).

The spelling of 313120413 in words is "three hundred thirteen million, one hundred twenty thousand, four hundred thirteen".