310080013 has 8 divisors (see below), whose sum is σ = 312919200. Its totient is φ = 307248240.

The previous prime is 310079993. The next prime is 310080041.

310080013 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 310080013 - 2⁹ = 310079501 is a prime.

It is a super-2 number, since 2×310080013² = 192299228924160338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310080413) 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, 113538 + ... + 116236.

It is an arithmetic number, because the mean of its divisors is an integer number (39114900).

Almost surely, 2^310080013 is an apocalyptic number.

It is an amenable number.

310080013 is a deficient number, since it is larger than the sum of its proper divisors (2839187).

310080013 is a wasteful number, since it uses less digits than its factorization.

310080013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 310080013 is about 17609.0889315717. The cubic root of 310080013 is about 676.8481681522.

The spelling of 310080013 in words is "three hundred ten million, eighty thousand, thirteen".