113313322001000 has 512 divisors, whose sum is σ = 301884156887040. Its totient is φ = 39450528000000.

The previous prime is 113313322000997. The next prime is 113313322001027. The reversal of 113313322001000 is 100223313311.

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 127 ways as a sum of consecutive naturals, for example, 5652372977 + ... + 5652393023.

It is an arithmetic number, because the mean of its divisors is an integer number (589617493920).

Almost surely, 2^{113313322001000} is an apocalyptic number.

113313322001000 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 113313322001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150942078443520).

113313322001000 is an abundant number, since it is smaller than the sum of its proper divisors (188570834886040).

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

113313322001000 is a wasteful number, since it uses less digits than its factorization.

113313322001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20354 (or 20340 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 113313322001000 its reverse (100223313311), we get a palindrome (113413545314311).

The spelling of 113313322001000 in words is "one hundred thirteen trillion, three hundred thirteen billion, three hundred twenty-two million, one thousand".