310120320213 has 18 divisors (see below), whose sum is σ = 492376524822. Its totient is φ = 187951708560.

The previous prime is 310120320203. The next prime is 310120320217. The reversal of 310120320213 is 312023021013.

310120320213 is a `hidden beast` number, since 3 + 10 + 120 + 320 + 213 = 666.

It can be written as a sum of positive squares in only one way, i.e., 289123440804 + 20996879409 = 537702^2 + 144903^2 .

It is not a de Polignac number, because 310120320213 - 2²⁸ = 309851884757 is a prime.

It is a super-2 number, since 2×310120320213² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310120320217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 142386570 + ... + 142388747.

It is an arithmetic number, because the mean of its divisors is an integer number (27354251379).

Almost surely, 2^310120320213 is an apocalyptic number.

310120320213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

310120320213 is a deficient number, since it is larger than the sum of its proper divisors (182256204609).

310120320213 is a wasteful number, since it uses less digits than its factorization.

310120320213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284775345 (or 284775331 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 310120320213 its reverse (312023021013), we get a palindrome (622143341226).

The spelling of 310120320213 in words is "three hundred ten billion, one hundred twenty million, three hundred twenty thousand, two hundred thirteen".