2310100211313 has 24 divisors (see below), whose sum is σ = 3418412361000. Its totient is φ = 1502409565440.

The previous prime is 2310100211297. The next prime is 2310100211317. The reversal of 2310100211313 is 3131120010132.

2310100211313 is a `hidden beast` number, since 231 + 0 + 100 + 21 + 1 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43718544 + 2310056492769 = 6612^2 + 1519887^2 .

It is not a de Polignac number, because 2310100211313 - 2⁴ = 2310100211297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2310100211317) 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 23 ways as a sum of consecutive naturals, for example, 5926563 + ... + 6304311.

It is an arithmetic number, because the mean of its divisors is an integer number (142433848375).

Almost surely, 2^{2310100211313} is an apocalyptic number.

It is an amenable number.

2310100211313 is a deficient number, since it is larger than the sum of its proper divisors (1108312149687).

2310100211313 is a wasteful number, since it uses less digits than its factorization.

2310100211313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394369 (or 394366 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2310100211313 its reverse (3131120010132), we get a palindrome (5441220221445).

The spelling of 2310100211313 in words is "two trillion, three hundred ten billion, one hundred million, two hundred eleven thousand, three hundred thirteen".