113011013120 has 80 divisors (see below), whose sum is σ = 271283002848. Its totient is φ = 45150781440.

The previous prime is 113011013077. The next prime is 113011013147. The reversal of 113011013120 is 21310110311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 113011013095 and 113011013104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2168165 + ... + 2219675.

Almost surely, 2^113011013120 is an apocalyptic number.

113011013120 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 113011013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135641501424).

113011013120 is an abundant number, since it is smaller than the sum of its proper divisors (158271989728).

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

113011013120 is an frugal number, since it uses more digits than its factorization.

113011013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52391 (or 52375 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 113011013120 its reverse (21310110311), we get a palindrome (134321123431).

The spelling of 113011013120 in words is "one hundred thirteen billion, eleven million, thirteen thousand, one hundred twenty".