113242340211000 has 1536 divisors, whose sum is σ = 502096925491200. Its totient is φ = 20577473280000.

The previous prime is 113242340210953. The next prime is 113242340211029. The reversal of 113242340211000 is 112043242311.

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 383 ways as a sum of consecutive naturals, for example, 741664665 + ... + 741817335.

It is an arithmetic number, because the mean of its divisors is an integer number (326886019200).

Almost surely, 2^{113242340211000} is an apocalyptic number.

113242340211000 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 113242340211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251048462745600).

113242340211000 is an abundant number, since it is smaller than the sum of its proper divisors (388854585280200).

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

113242340211000 is a wasteful number, since it uses less digits than its factorization.

113242340211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152758 (or 152731 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 113242340211000 its reverse (112043242311), we get a palindrome (113354383453311).

The spelling of 113242340211000 in words is "one hundred thirteen trillion, two hundred forty-two billion, three hundred forty million, two hundred eleven thousand".