313245542313 has 96 divisors (see below), whose sum is σ = 506419130880. Its totient is φ = 184991040000.

The previous prime is 313245542299. The next prime is 313245542333.

313245542313 is a `hidden beast` number, since 3 + 132 + 455 + 42 + 31 + 3 = 666.

313245542313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313245542313 - 2⁶ = 313245542249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313245542333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 427346895 + ... + 427347627.

It is an arithmetic number, because the mean of its divisors is an integer number (5275199280).

Almost surely, 2^313245542313 is an apocalyptic number.

313245542313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313245542313 is a deficient number, since it is larger than the sum of its proper divisors (193173588567).

313245542313 is a wasteful number, since it uses less digits than its factorization.

313245542313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1468 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 313245 and 542313, that added together give a palindrome (855558).

The spelling of 313245542313 in words is "three hundred thirteen billion, two hundred forty-five million, five hundred forty-two thousand, three hundred thirteen".