313432404234313 has 64 divisors (see below), whose sum is σ = 388891882874880. Its totient is φ = 245988241132032.

The previous prime is 313432404234253. The next prime is 313432404234317.

313432404234313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313432404234313 - 2⁴¹ = 311233380978761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313432404234317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9239507970 + ... + 9239541892.

It is an arithmetic number, because the mean of its divisors is an integer number (6076435669920).

Almost surely, 2^{313432404234313} is an apocalyptic number.

It is an amenable number.

313432404234313 is a deficient number, since it is larger than the sum of its proper divisors (75459478640567).

313432404234313 is a wasteful number, since it uses less digits than its factorization.

313432404234313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35806.

The product of its (nonzero) digits is 746496, while the sum is 40.

It can be divided in two parts, 31343240 and 4234313, that added together give a palindrome (35577553).

The spelling of 313432404234313 in words is "three hundred thirteen trillion, four hundred thirty-two billion, four hundred four million, two hundred thirty-four thousand, three hundred thirteen".