2113413120 has 840 divisors, whose sum is σ = 9491458284. Its totient is φ = 445906944.

The previous prime is 2113413119. The next prime is 2113413131. The reversal of 2113413120 is 213143112.

2113413120 is a `hidden beast` number, since 2 + 11 + 341 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1967099904 + 146313216 = 44352^2 + 12096^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a junction number, because it is equal to n+sod(n) for n = 2113413093 and 2113413102.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 162570234 + ... + 162570246.

Almost surely, 2^2113413120 is an apocalyptic number.

2113413120 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 2113413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745729142).

2113413120 is an abundant number, since it is smaller than the sum of its proper divisors (7378045164).

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

2113413120 is an equidigital number, since it uses as much as digits as its factorization.

2113413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2113413120 is about 45971.8731399972. The cubic root of 2113413120 is about 1283.2998191432.

Adding to 2113413120 its reverse (213143112), we get a palindrome (2326556232).

The spelling of 2113413120 in words is "two billion, one hundred thirteen million, four hundred thirteen thousand, one hundred twenty".