13100068917600 has 576 divisors, whose sum is σ = 51267243686400. Its totient is φ = 2842042613760.

The previous prime is 13100068917587. The next prime is 13100068917601. The reversal of 13100068917600 is 671986000131.

It is a super-2 number, since 2×13100068917600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100068917601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28516932 + ... + 28972668.

It is an arithmetic number, because the mean of its divisors is an integer number (89005631400).

Almost surely, 2^{13100068917600} is an apocalyptic number.

13100068917600 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 13100068917600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25633621843200).

13100068917600 is an abundant number, since it is smaller than the sum of its proper divisors (38167174768800).

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

13100068917600 is a wasteful number, since it uses less digits than its factorization.

13100068917600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455855 (or 455842 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 13100068917600 in words is "thirteen trillion, one hundred billion, sixty-eight million, nine hundred seventeen thousand, six hundred".