2113322331000 has 128 divisors (see below), whose sum is σ = 6605158996800. Its totient is φ = 562561740800.

The previous prime is 2113322330953. The next prime is 2113322331019. The reversal of 2113322331000 is 1332233112.

It is a super-2 number, since 2×2113322331000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1087984 + ... + 2326016.

Almost surely, 2^{2113322331000} is an apocalyptic number.

2113322331000 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 2113322331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302579498400).

2113322331000 is an abundant number, since it is smaller than the sum of its proper divisors (4491836665800).

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

2113322331000 is a wasteful number, since it uses less digits than its factorization.

2113322331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238626 (or 1238612 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2113322331000 its reverse (1332233112), we get a palindrome (2114654564112).

The spelling of 2113322331000 in words is "two trillion, one hundred thirteen billion, three hundred twenty-two million, three hundred thirty-one thousand".