2113113600 has 720 divisors, whose sum is σ = 8726910192. Its totient is φ = 483655680.

The previous prime is 2113113593. The next prime is 2113113601. The reversal of 2113113600 is 63113112.

2113113600 is a `hidden beast` number, since 21 + 1 + 31 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113113601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25459159 + ... + 25459241.

Almost surely, 2^2113113600 is an apocalyptic number.

2113113600 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 2113113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363455096).

2113113600 is an abundant number, since it is smaller than the sum of its proper divisors (6613796592).

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

2113113600 is a wasteful number, since it uses less digits than its factorization.

2113113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2113113600 is about 45968.6153804963. The cubic root of 2113113600 is about 1283.2391917599.

Adding to 2113113600 its reverse (63113112), we get a palindrome (2176226712).

The spelling of 2113113600 in words is "two billion, one hundred thirteen million, one hundred thirteen thousand, six hundred".