20101332030113 has 12 divisors (see below), whose sum is σ = 22249378307268. Its totient is φ = 18096339824640.

The previous prime is 20101332030049. The next prime is 20101332030193. The reversal of 20101332030113 is 31103023310102.

It can be written as a sum of positive squares in 2 ways, for example, as 18749523525184 + 1351808504929 = 4330072^2 + 1162673^2 .

It is not a de Polignac number, because 20101332030113 - 2⁶ = 20101332030049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20101332030193) 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, 1117600928 + ... + 1117618913.

It is an arithmetic number, because the mean of its divisors is an integer number (1854114858939).

Almost surely, 2^{20101332030113} is an apocalyptic number.

20101332030113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20101332030113 is a deficient number, since it is larger than the sum of its proper divisors (2148046277155).

20101332030113 is a wasteful number, since it uses less digits than its factorization.

20101332030113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235219904 (or 2235219881 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 20101332030113 its reverse (31103023310102), we get a palindrome (51204355340215).

The spelling of 20101332030113 in words is "twenty trillion, one hundred one billion, three hundred thirty-two million, thirty thousand, one hundred thirteen".