2113120000 has 180 divisors, whose sum is σ = 5402095776. Its totient is φ = 824320000.

The previous prime is 2113119949. The next prime is 2113120007. The reversal of 2113120000 is 213112.

It is a super-2 number, since 2×2113120000² = 8930552268800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113120007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 7519860 + ... + 7520140.

Almost surely, 2^2113120000 is an apocalyptic number.

2113120000 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 2113120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701047888).

2113120000 is an abundant number, since it is smaller than the sum of its proper divisors (3288975776).

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

2113120000 is an frugal number, since it uses more digits than its factorization.

2113120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2113120000 is about 45968.6849931559. The cubic root of 2113120000 is about 1283.2404872767.

Adding to 2113120000 its reverse (213112), we get a palindrome (2113333112).

The spelling of 2113120000 in words is "two billion, one hundred thirteen million, one hundred twenty thousand".