13113755601100 has 288 divisors, whose sum is σ = 37573195161600. Its totient is φ = 3846196224000.

The previous prime is 13113755601071. The next prime is 13113755601103. The reversal of 13113755601100 is 110655731131.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (13113755601103) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1184508565 + ... + 1184519635.

It is an arithmetic number, because the mean of its divisors is an integer number (130462483200).

Almost surely, 2^{13113755601100} is an apocalyptic number.

13113755601100 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 13113755601100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18786597580800).

13113755601100 is an abundant number, since it is smaller than the sum of its proper divisors (24459439560500).

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

13113755601100 is a wasteful number, since it uses less digits than its factorization.

13113755601100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20169 (or 20162 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 34.

The spelling of 13113755601100 in words is "thirteen trillion, one hundred thirteen billion, seven hundred fifty-five million, six hundred one thousand, one hundred".