113144523240000 has 560 divisors, whose sum is σ = 427617952553088. Its totient is φ = 25855832064000.

The previous prime is 113144523239981. The next prime is 113144523240079. The reversal of 113144523240000 is 42325441311.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×113144523240000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 113144523240000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4600667704 + ... + 4600692296.

Almost surely, 2^{113144523240000} is an apocalyptic number.

113144523240000 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 113144523240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213808976276544).

113144523240000 is an abundant number, since it is smaller than the sum of its proper divisors (314473429313088).

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

113144523240000 is an equidigital number, since it uses as much as digits as its factorization.

113144523240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30112 (or 30087 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 113144523240000 its reverse (42325441311), we get a palindrome (113186848681311).

The spelling of 113144523240000 in words is "one hundred thirteen trillion, one hundred forty-four billion, five hundred twenty-three million, two hundred forty thousand".