20010100200013 has 24 divisors (see below), whose sum is σ = 25678467642240. Its totient is φ = 15417091609920.

The previous prime is 20010100199989. The next prime is 20010100200023. The reversal of 20010100200013 is 31000200101002.

It is not a de Polignac number, because 20010100200013 - 2²⁹ = 20009563329101 is a prime.

It is a super-2 number, since 2×20010100200013² (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 (20010100200023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208516581 + ... + 208612522.

It is an arithmetic number, because the mean of its divisors is an integer number (1069936151760).

Almost surely, 2^{20010100200013} is an apocalyptic number.

It is an amenable number.

20010100200013 is a deficient number, since it is larger than the sum of its proper divisors (5668367442227).

20010100200013 is a wasteful number, since it uses less digits than its factorization.

20010100200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417129217 (or 417129210 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 20010100200013 its reverse (31000200101002), we get a palindrome (51010300301015).

The spelling of 20010100200013 in words is "twenty trillion, ten billion, one hundred million, two hundred thousand, thirteen".