2113324313985 has 48 divisors (see below), whose sum is σ = 3723439608720. Its totient is φ = 1108541790720.

The previous prime is 2113324313951. The next prime is 2113324314007. The reversal of 2113324313985 is 5893134233112.

2113324313985 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 324 + 313 + 9 + 8 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 152842684401 + 1960481629584 = 390951^2 + 1400172^2 .

It is not a de Polignac number, because 2113324313985 - 2¹⁶ = 2113324248449 is a prime.

It is a super-2 number, since 2×2113324313985² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2113324313985.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49600071 + ... + 49642659.

It is an arithmetic number, because the mean of its divisors is an integer number (77571658515).

Almost surely, 2^{2113324313985} is an apocalyptic number.

It is an amenable number.

2113324313985 is a deficient number, since it is larger than the sum of its proper divisors (1610115294735).

2113324313985 is a wasteful number, since it uses less digits than its factorization.

2113324313985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60738 (or 60735 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 2113324313985 in words is "two trillion, one hundred thirteen billion, three hundred twenty-four million, three hundred thirteen thousand, nine hundred eighty-five".