313644020446313 has 16 divisors (see below), whose sum is σ = 314725371125760. Its totient is φ = 312564452662800.

The previous prime is 313644020446303. The next prime is 313644020446399.

313644020446313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313644020446313 - 2³⁶ = 313575300969577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313644020446303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1907182856 + ... + 1907347302.

It is an arithmetic number, because the mean of its divisors is an integer number (19670335695360).

Almost surely, 2^{313644020446313} is an apocalyptic number.

It is an amenable number.

313644020446313 is a deficient number, since it is larger than the sum of its proper divisors (1081350679447).

313644020446313 is a wasteful number, since it uses less digits than its factorization.

313644020446313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169828.

The product of its (nonzero) digits is 1492992, while the sum is 44.

The spelling of 313644020446313 in words is "three hundred thirteen trillion, six hundred forty-four billion, twenty million, four hundred forty-six thousand, three hundred thirteen".