20333312320113 has 12 divisors (see below), whose sum is σ = 31629596942580. Its totient is φ = 12512807581536.

The previous prime is 20333312320099. The next prime is 20333312320129. The reversal of 20333312320113 is 31102321333302.

20333312320113 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 331 + 2 + 320 + 1 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10722369897009 + 9610942423104 = 3274503^2 + 3100152^2 .

It is not a de Polignac number, because 20333312320113 - 2³⁶ = 20264592843377 is a prime.

It is a super-2 number, since 2×20333312320113² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20333312320163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86894496978 + ... + 86894497211.

It is an arithmetic number, because the mean of its divisors is an integer number (2635799745215).

Almost surely, 2^{20333312320113} is an apocalyptic number.

It is an amenable number.

20333312320113 is a deficient number, since it is larger than the sum of its proper divisors (11296284622467).

20333312320113 is a wasteful number, since it uses less digits than its factorization.

20333312320113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173788994208 (or 173788994205 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 20333312320113 its reverse (31102321333302), we get a palindrome (51435633653415).

The spelling of 20333312320113 in words is "twenty trillion, three hundred thirty-three billion, three hundred twelve million, three hundred twenty thousand, one hundred thirteen".