313541080145313 has 32 divisors (see below), whose sum is σ = 424412715417600. Its totient is φ = 205872615760896.

The previous prime is 313541080145261. The next prime is 313541080145329.

313541080145313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313541080145313 - 2¹² = 313541080141217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313541080145333) 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, 660638145 + ... + 661112577.

It is an arithmetic number, because the mean of its divisors is an integer number (13262897356800).

Almost surely, 2^{313541080145313} is an apocalyptic number.

It is an amenable number.

313541080145313 is a deficient number, since it is larger than the sum of its proper divisors (110871635272287).

313541080145313 is a wasteful number, since it uses less digits than its factorization.

313541080145313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487181.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 313541080145313 in words is "three hundred thirteen trillion, five hundred forty-one billion, eighty million, one hundred forty-five thousand, three hundred thirteen".