313332101233313 has 32 divisors (see below), whose sum is σ = 330939378950400. Its totient is φ = 296070993504000.

The previous prime is 313332101233301. The next prime is 313332101233337.

313332101233313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313332101233313 - 2²⁶ = 313332034124449 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313332101233313.

It is not an unprimeable number, because it can be changed into a prime (313332101233513) 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, 1903734683 + ... + 1903899263.

It is an arithmetic number, because the mean of its divisors is an integer number (10341855592200).

Almost surely, 2^{313332101233313} is an apocalyptic number.

It is an amenable number.

313332101233313 is a deficient number, since it is larger than the sum of its proper divisors (17607277717087).

313332101233313 is a wasteful number, since it uses less digits than its factorization.

313332101233313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166553.

The product of its (nonzero) digits is 26244, while the sum is 32.

It can be divided in two parts, 31333210 and 1233313, that added together give a palindrome (32566523).

The spelling of 313332101233313 in words is "three hundred thirteen trillion, three hundred thirty-two billion, one hundred one million, two hundred thirty-three thousand, three hundred thirteen".