13100013101 has 32 divisors (see below), whose sum is σ = 16008634368. Its totient is φ = 10476385920.

The previous prime is 13100013097. The next prime is 13100013109. The reversal of 13100013101 is 10131000131.

It is a happy number.

It is not a de Polignac number, because 13100013101 - 2² = 13100013097 is a prime.

It is a super-2 number, since 2×13100013101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100013109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2365706 + ... + 2371236.

It is an arithmetic number, because the mean of its divisors is an integer number (500269824).

Almost surely, 2^13100013101 is an apocalyptic number.

It is an amenable number.

13100013101 is a deficient number, since it is larger than the sum of its proper divisors (2908621267).

13100013101 is a wasteful number, since it uses less digits than its factorization.

13100013101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 13100013101 its reverse (10131000131), we get a palindrome (23231013232).

The spelling of 13100013101 in words is "thirteen billion, one hundred million, thirteen thousand, one hundred one".