13100020011300 has 144 divisors (see below), whose sum is σ = 38931928197120. Its totient is φ = 3398504509440.

The previous prime is 13100020011289. The next prime is 13100020011443. The reversal of 13100020011300 is 311002000131.

It is a super-2 number, since 2×13100020011300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95491357 + ... + 95628443.

It is an arithmetic number, because the mean of its divisors is an integer number (270360612480).

Almost surely, 2^{13100020011300} is an apocalyptic number.

13100020011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100020011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19465964098560).

13100020011300 is an abundant number, since it is smaller than the sum of its proper divisors (25831908185820).

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

13100020011300 is a wasteful number, since it uses less digits than its factorization.

13100020011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145750 (or 145743 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13100020011300 its reverse (311002000131), we get a palindrome (13411022011431).

The spelling of 13100020011300 in words is "thirteen trillion, one hundred billion, twenty million, eleven thousand, three hundred".