101113013001 has 64 divisors (see below), whose sum is σ = 181363746816. Its totient is φ = 48391948800.

The previous prime is 101113012993. The next prime is 101113013033. The reversal of 101113013001 is 100310311101.

It is not a de Polignac number, because 101113013001 - 2³ = 101113012993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101113013081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1532250 + ... + 1596876.

It is an arithmetic number, because the mean of its divisors is an integer number (2833808544).

Almost surely, 2^101113013001 is an apocalyptic number.

101113013001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101113013001 is a deficient number, since it is larger than the sum of its proper divisors (80250733815).

101113013001 is a wasteful number, since it uses less digits than its factorization.

101113013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65182.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 101113013001 its reverse (100310311101), we get a palindrome (201423324102).

The spelling of 101113013001 in words is "one hundred one billion, one hundred thirteen million, thirteen thousand, one".