113241135414000 has 320 divisors, whose sum is σ = 398665163939328. Its totient is φ = 27425804544000.

The previous prime is 113241135413963. The next prime is 113241135414037. The reversal of 113241135414000 is 414531142311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113241135413963) and next prime (113241135414037).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67347519 + ... + 69008481.

Almost surely, 2^{113241135414000} is an apocalyptic number.

113241135414000 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 113241135414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199332581969664).

113241135414000 is an abundant number, since it is smaller than the sum of its proper divisors (285424028525328).

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

113241135414000 is a wasteful number, since it uses less digits than its factorization.

113241135414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662033 (or 1662017 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 113241135414000 its reverse (414531142311), we get a palindrome (113655666556311).

The spelling of 113241135414000 in words is "one hundred thirteen trillion, two hundred forty-one billion, one hundred thirty-five million, four hundred fourteen thousand".