113038100883840 has 128 divisors (see below), whose sum is σ = 393064305419520. Its totient is φ = 27403175966720.

The previous prime is 113038100883823. The next prime is 113038100883853. The reversal of 113038100883840 is 48388001830311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×113038100883840³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 113038100883840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2676070284 + ... + 2676112523.

It is an arithmetic number, because the mean of its divisors is an integer number (3070814886090).

Almost surely, 2^{113038100883840} is an apocalyptic number.

113038100883840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113038100883840 is an abundant number, since it is smaller than the sum of its proper divisors (280026204535680).

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

113038100883840 is a wasteful number, since it uses less digits than its factorization.

113038100883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352182840 (or 5352182828 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 113038100883840 in words is "one hundred thirteen trillion, thirty-eight billion, one hundred million, eight hundred eighty-three thousand, eight hundred forty".