13116116366100 has 432 divisors, whose sum is σ = 45865744404480. Its totient is φ = 3108040166400.

The previous prime is 13116116366081. The next prime is 13116116366113. The reversal of 13116116366100 is 166361161131.

13116116366100 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 1 + 1 + 6 + 36 + 610 + 0 = 666.

It is a super-3 number, since 3×13116116366100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141097837 + ... + 141190763.

It is an arithmetic number, because the mean of its divisors is an integer number (106170704640).

Almost surely, 2^{13116116366100} is an apocalyptic number.

13116116366100 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 13116116366100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932872202240).

13116116366100 is an abundant number, since it is smaller than the sum of its proper divisors (32749628038380).

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

13116116366100 is a wasteful number, since it uses less digits than its factorization.

13116116366100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93280 (or 93270 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 13116116366100 in words is "thirteen trillion, one hundred sixteen billion, one hundred sixteen million, three hundred sixty-six thousand, one hundred".