310320101023013 has 16 divisors (see below), whose sum is σ = 329725403170560. Its totient is φ = 291044215773696.

The previous prime is 310320101022959. The next prime is 310320101023019.

310320101023013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310320101023013 - 2³⁴ = 310302921153829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310320101023019) 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, 16979981 + ... + 30148962.

It is an arithmetic number, because the mean of its divisors is an integer number (20607837698160).

Almost surely, 2^{310320101023013} is an apocalyptic number.

It is an amenable number.

310320101023013 is a deficient number, since it is larger than the sum of its proper divisors (19405302147547).

310320101023013 is a wasteful number, since it uses less digits than its factorization.

310320101023013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47130316.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 31032010 and 1023013, that added together give a palindrome (32055023).

The spelling of 310320101023013 in words is "three hundred ten trillion, three hundred twenty billion, one hundred one million, twenty-three thousand, thirteen".