113400000000 has 900 divisors, whose sum is σ = 483527096184. Its totient is φ = 25920000000.

The previous prime is 113399999989. The next prime is 113400000001. The reversal of 113400000000 is 4311.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 7500 × 2100 × 7200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113400000001) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 16199999997 + ... + 16200000003.

Almost surely, 2^113400000000 is an apocalyptic number.

113400000000 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 113400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241763548092).

113400000000 is an abundant number, since it is smaller than the sum of its proper divisors (370127096184).

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

113400000000 is an frugal number, since it uses more digits than its factorization.

113400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 113400000000 its reverse (4311), we get a palindrome (113400004311).

The spelling of 113400000000 in words is "one hundred thirteen billion, four hundred million", and thus it is an aban number.