2113034000 has 160 divisors (see below), whose sum is σ = 6370520832. Its totient is φ = 658560000.

The previous prime is 2113033991. The next prime is 2113034009. The reversal of 2113034000 is 4303112.

It is an interprime number because it is at equal distance from previous prime (2113033991) and next prime (2113034009).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2113034009) 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 31 ways as a sum of consecutive naturals, for example, 147140 + ... + 160860.

Almost surely, 2^2113034000 is an apocalyptic number.

2113034000 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 2113034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185260416).

2113034000 is an abundant number, since it is smaller than the sum of its proper divisors (4257486832).

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

2113034000 is a wasteful number, since it uses less digits than its factorization.

2113034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13762 (or 13746 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2113034000 is about 45967.7495642325. The cubic root of 2113034000 is about 1283.2230785511.

Adding to 2113034000 its reverse (4303112), we get a palindrome (2117337112).

The spelling of 2113034000 in words is "two billion, one hundred thirteen million, thirty-four thousand".