113003242400000 has 216 divisors, whose sum is σ = 282567110250600. Its totient is φ = 45100482560000.

The previous prime is 113003242399981. The next prime is 113003242400017. The reversal of 113003242400000 is 4242300311.

It can be written as a sum of positive squares in 12 ways, for example, as 95494172940544 + 17509069459456 = 9772112^2 + 4184384^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359042702 + ... + 359357298.

It is an arithmetic number, because the mean of its divisors is an integer number (1308181065975).

Almost surely, 2^{113003242400000} is an apocalyptic number.

113003242400000 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 113003242400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141283555125300).

113003242400000 is an abundant number, since it is smaller than the sum of its proper divisors (169563867850600).

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

113003242400000 is an frugal number, since it uses more digits than its factorization.

113003242400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315087 (or 315053 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 113003242400000 its reverse (4242300311), we get a palindrome (113007484700311).

The spelling of 113003242400000 in words is "one hundred thirteen trillion, three billion, two hundred forty-two million, four hundred thousand".