313301121103313 has 32 divisors (see below), whose sum is σ = 375700964601600. Its totient is φ = 255600847482624.

The previous prime is 313301121103291. The next prime is 313301121103363.

313301121103313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313301121103313 - 2⁸ = 313301121103057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313301121103363) 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, 31578095 + ... + 40296132.

It is an arithmetic number, because the mean of its divisors is an integer number (11740655143800).

Almost surely, 2^{313301121103313} is an apocalyptic number.

It is an amenable number.

313301121103313 is a deficient number, since it is larger than the sum of its proper divisors (62399843498287).

313301121103313 is a wasteful number, since it uses less digits than its factorization.

313301121103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71874569.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 313301121103313 in words is "three hundred thirteen trillion, three hundred one billion, one hundred twenty-one million, one hundred three thousand, three hundred thirteen".