2231113013000 has 128 divisors (see below), whose sum is σ = 5265956966400. Its totient is φ = 884737728000.

The previous prime is 2231113012993. The next prime is 2231113013071. The reversal of 2231113013000 is 3103111322.

It is a super-3 number, since 3×2231113013000³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2231113013000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185286980 + ... + 185299020.

It is an arithmetic number, because the mean of its divisors is an integer number (41140288800).

Almost surely, 2^{2231113013000} is an apocalyptic number.

2231113013000 is a gapful number since it is divisible by the number (20) 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 2231113013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632978483200).

2231113013000 is an abundant number, since it is smaller than the sum of its proper divisors (3034843953400).

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

2231113013000 is a wasteful number, since it uses less digits than its factorization.

2231113013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13648 (or 13634 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2231113013000 its reverse (3103111322), we get a palindrome (2234216124322).

The spelling of 2231113013000 in words is "two trillion, two hundred thirty-one billion, one hundred thirteen million, thirteen thousand".