2113120 has 48 divisors (see below), whose sum is σ = 5116608. Its totient is φ = 824320.

The previous prime is 2113109. The next prime is 2113129. The reversal of 2113120 is 213112.

2113120 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×2113120² = 8930552268800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2113097 and 2113106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7380 + ... + 7660.

It is an arithmetic number, because the mean of its divisors is an integer number (106596).

2^2113120 is an apocalyptic number.

2113120 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 2113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558304).

2113120 is an abundant number, since it is smaller than the sum of its proper divisors (3003488).

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

2113120 is a wasteful number, since it uses less digits than its factorization.

2113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

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

The square root of 2113120 is about 1453.6574562117. The cubic root of 2113120 is about 128.3240487277.

Adding to 2113120 its reverse (213112), we get a palindrome (2326232).

The spelling of 2113120 in words is "two million, one hundred thirteen thousand, one hundred twenty".