113499131616 has 144 divisors (see below), whose sum is σ = 347743416384. Its totient is φ = 34907507712.

The previous prime is 113499131609. The next prime is 113499131617. The reversal of 113499131616 is 616131994311.

113499131616 is a `hidden beast` number, since 1 + 13 + 4 + 9 + 9 + 13 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113499131617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10953510 + ... + 10963866.

It is an arithmetic number, because the mean of its divisors is an integer number (2414884836).

Almost surely, 2^113499131616 is an apocalyptic number.

113499131616 is a gapful number since it is divisible by the number (16) 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 113499131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173871708192).

113499131616 is an abundant number, since it is smaller than the sum of its proper divisors (234244284768).

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

113499131616 is a wasteful number, since it uses less digits than its factorization.

113499131616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13313 (or 13302 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The spelling of 113499131616 in words is "one hundred thirteen billion, four hundred ninety-nine million, one hundred thirty-one thousand, six hundred sixteen".