20301013130013 has 96 divisors (see below), whose sum is σ = 37267372646400. Its totient is φ = 10343526336000.

The previous prime is 20301013129979. The next prime is 20301013130039. The reversal of 20301013130013 is 31003131010302.

It is a happy number.

20301013130013 is a `hidden beast` number, since 20 + 301 + 0 + 1 + 31 + 300 + 13 = 666.

It is not a de Polignac number, because 20301013130013 - 2⁶ = 20301013129949 is a prime.

It is a super-2 number, since 2×20301013130013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301013130063) 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, 7038933 + ... + 9494661.

It is an arithmetic number, because the mean of its divisors is an integer number (388201798400).

Almost surely, 2^{20301013130013} is an apocalyptic number.

It is an amenable number.

20301013130013 is a deficient number, since it is larger than the sum of its proper divisors (16966359516387).

20301013130013 is a wasteful number, since it uses less digits than its factorization.

20301013130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455983 (or 2455980 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 20301013130013 its reverse (31003131010302), we get a palindrome (51304144140315).

The spelling of 20301013130013 in words is "twenty trillion, three hundred one billion, thirteen million, one hundred thirty thousand, thirteen".