113282610000 has 800 divisors, whose sum is σ = 434635872000. Its totient is φ = 25401600000.

The previous prime is 113282609969. The next prime is 113282610011. The reversal of 113282610000 is 16282311.

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 159 ways as a sum of consecutive naturals, for example, 1039289946 + ... + 1039290054.

It is an arithmetic number, because the mean of its divisors is an integer number (543294840).

Almost surely, 2^113282610000 is an apocalyptic number.

113282610000 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 113282610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217317936000).

113282610000 is an abundant number, since it is smaller than the sum of its proper divisors (321353262000).

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

113282610000 is a wasteful number, since it uses less digits than its factorization.

113282610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 113282610000 its reverse (16282311), we get a palindrome (113298892311).

The spelling of 113282610000 in words is "one hundred thirteen billion, two hundred eighty-two million, six hundred ten thousand".