2113223013000 has 672 divisors, whose sum is σ = 8149636174680. Its totient is φ = 512275104000.

The previous prime is 2113223012951. The next prime is 2113223013023. The reversal of 2113223013000 is 3103223112.

2113223013000 is a `hidden beast` number, since 2 + 1 + 132 + 230 + 1 + 300 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 968763810564 + 1144459202436 = 984258^2 + 1069794^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 88197022 + ... + 88220978.

Almost surely, 2^{2113223013000} is an apocalyptic number.

2113223013000 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 2113223013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074818087340).

2113223013000 is an abundant number, since it is smaller than the sum of its proper divisors (6036413161680).

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

2113223013000 is a wasteful number, since it uses less digits than its factorization.

2113223013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24018 (or 23978 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2113223013000 its reverse (3103223112), we get a palindrome (2116326236112).

The spelling of 2113223013000 in words is "two trillion, one hundred thirteen billion, two hundred twenty-three million, thirteen thousand".