2085216113013 has 96 divisors (see below), whose sum is σ = 3287208960000. Its totient is φ = 1164565395840.

The previous prime is 2085216113003. The next prime is 2085216113033. The reversal of 2085216113013 is 3103116125802.

It is not a de Polignac number, because 2085216113013 - 2⁸ = 2085216112757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085216113003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242490888 + ... + 242499486.

It is an arithmetic number, because the mean of its divisors is an integer number (34241760000).

Almost surely, 2^{2085216113013} is an apocalyptic number.

2085216113013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2085216113013 is a deficient number, since it is larger than the sum of its proper divisors (1201992846987).

2085216113013 is a wasteful number, since it uses less digits than its factorization.

2085216113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9167 (or 9144 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 2085216113013 in words is "two trillion, eighty-five billion, two hundred sixteen million, one hundred thirteen thousand, thirteen".