2113213424000 has 256 divisors, whose sum is σ = 6357759258240. Its totient is φ = 681910272000.

The previous prime is 2113213423987. The next prime is 2113213424053. The reversal of 2113213424000 is 4243123112.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1349060 + ... + 2458940.

Almost surely, 2^{2113213424000} is an apocalyptic number.

2113213424000 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 2113213424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178879629120).

2113213424000 is an abundant number, since it is smaller than the sum of its proper divisors (4244545834240).

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

2113213424000 is a wasteful number, since it uses less digits than its factorization.

2113213424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109934 (or 1109912 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2113213424000 its reverse (4243123112), we get a palindrome (2117456547112).

The spelling of 2113213424000 in words is "two trillion, one hundred thirteen billion, two hundred thirteen million, four hundred twenty-four thousand".