13101101310100 has 72 divisors (see below), whose sum is σ = 30020077654560. Its totient is φ = 4948966350720.

The previous prime is 13101101310091. The next prime is 13101101310127. The reversal of 13101101310100 is 101310110131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10273594 + ... + 11478193.

It is an arithmetic number, because the mean of its divisors is an integer number (416945522980).

Almost surely, 2^{13101101310100} is an apocalyptic number.

13101101310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101101310100 is an abundant number, since it is smaller than the sum of its proper divisors (16918976344460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13101101310100 is a wasteful number, since it uses less digits than its factorization.

13101101310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21752137 (or 21752130 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 13101101310100 its reverse (101310110131), we get a palindrome (13202411420231).

The spelling of 13101101310100 in words is "thirteen trillion, one hundred one billion, one hundred one million, three hundred ten thousand, one hundred".