20001013133101 has 64 divisors (see below), whose sum is σ = 27124560691200. Its totient is φ = 14241715488000.

The previous prime is 20001013133089. The next prime is 20001013133119. The reversal of 20001013133101 is 10133131010002.

It is not a de Polignac number, because 20001013133101 - 2²³ = 20001004744493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001013133401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954281860 + ... + 954302818.

It is an arithmetic number, because the mean of its divisors is an integer number (423821260800).

Almost surely, 2^{20001013133101} is an apocalyptic number.

It is an amenable number.

20001013133101 is a deficient number, since it is larger than the sum of its proper divisors (7123547558099).

20001013133101 is a wasteful number, since it uses less digits than its factorization.

20001013133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30530.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 20001013133101 its reverse (10133131010002), we get a palindrome (30134144143103).

The spelling of 20001013133101 in words is "twenty trillion, one billion, thirteen million, one hundred thirty-three thousand, one hundred one".