2113322320013 has 8 divisors (see below), whose sum is σ = 2321269368000. Its totient is φ = 1915047227808.

The previous prime is 2113322320009. The next prime is 2113322320037. The reversal of 2113322320013 is 3100232233112.

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 2113322320013 - 2² = 2113322320009 is a prime.

It is a super-2 number, since 2×2113322320013² (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 Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113322320073) 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 7 ways as a sum of consecutive naturals, for example, 2417988488 + ... + 2417989361.

It is an arithmetic number, because the mean of its divisors is an integer number (290158671000).

Almost surely, 2^{2113322320013} is an apocalyptic number.

2113322320013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2113322320013 is a deficient number, since it is larger than the sum of its proper divisors (207947047987).

2113322320013 is a wasteful number, since it uses less digits than its factorization.

2113322320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835977891.

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

Adding to 2113322320013 its reverse (3100232233112), we get a palindrome (5213554553125).

The spelling of 2113322320013 in words is "two trillion, one hundred thirteen billion, three hundred twenty-two million, three hundred twenty thousand, thirteen".