113401380120 has 192 divisors, whose sum is σ = 405400917600. Its totient is φ = 25288058880.

The previous prime is 113401380109. The next prime is 113401380133. The reversal of 113401380120 is 21083104311.

113401380120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5886 + ... + 476274.

Almost surely, 2^113401380120 is an apocalyptic number.

113401380120 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 113401380120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202700458800).

113401380120 is an abundant number, since it is smaller than the sum of its proper divisors (291999537480).

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

113401380120 is a wasteful number, since it uses less digits than its factorization.

113401380120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470458 (or 470447 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 113401380120 its reverse (21083104311), we get a palindrome (134484484431).

It can be divided in two parts, 113401 and 380120, that added together give a triangular number (493521 = T₉₉₃).

The spelling of 113401380120 in words is "one hundred thirteen billion, four hundred one million, three hundred eighty thousand, one hundred twenty".