313201101102313 has 8 divisors (see below), whose sum is σ = 334908108111240. Its totient is φ = 291858917740800.

The previous prime is 313201101102167. The next prime is 313201101102353.

313201101102313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 228633360873129 + 84567740229184 = 15120627^2 + 9196072^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313201101102313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313201101102353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91205910078 + ... + 91205913511.

It is an arithmetic number, because the mean of its divisors is an integer number (41863513513905).

Almost surely, 2^{313201101102313} is an apocalyptic number.

It is an amenable number.

313201101102313 is a deficient number, since it is larger than the sum of its proper divisors (21707007008927).

313201101102313 is a wasteful number, since it uses less digits than its factorization.

313201101102313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182411823707.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 31320110 and 1102313, that added together give a palindrome (32422423).

The spelling of 313201101102313 in words is "three hundred thirteen trillion, two hundred one billion, one hundred one million, one hundred two thousand, three hundred thirteen".