2113320022313 has 32 divisors (see below), whose sum is σ = 2415688261632. Its totient is φ = 1836995846400.

The previous prime is 2113320022301. The next prime is 2113320022427. The reversal of 2113320022313 is 3132200233112.

It is not a de Polignac number, because 2113320022313 - 2⁶ = 2113320022249 is a prime.

It is a super-2 number, since 2×2113320022313² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2113320022013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5172818 + ... + 5566388.

It is an arithmetic number, because the mean of its divisors is an integer number (75490258176).

Almost surely, 2^{2113320022313} is an apocalyptic number.

2113320022313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2113320022313 is a deficient number, since it is larger than the sum of its proper divisors (302368239319).

2113320022313 is a wasteful number, since it uses less digits than its factorization.

2113320022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394085.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2113320022313 its reverse (3132200233112), we get a palindrome (5245520255425).

The spelling of 2113320022313 in words is "two trillion, one hundred thirteen billion, three hundred twenty million, twenty-two thousand, three hundred thirteen".