2113000001 has 24 divisors (see below), whose sum is σ = 2562373440. Its totient is φ = 1735188000.

The previous prime is 2112999979. The next prime is 2113000003. The reversal of 2113000001 is 1000003112.

It is not a de Polignac number, because 2113000001 - 2¹⁸ = 2112737857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2113000003) 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 23 ways as a sum of consecutive naturals, for example, 180476 + ... + 191826.

It is an arithmetic number, because the mean of its divisors is an integer number (106765560).

Almost surely, 2^2113000001 is an apocalyptic number.

It is an amenable number.

2113000001 is a deficient number, since it is larger than the sum of its proper divisors (449373439).

2113000001 is a wasteful number, since it uses less digits than its factorization.

2113000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11525 (or 11518 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2113000001 is about 45967.3797491221. The cubic root of 2113000001 is about 1283.2161961038.

Adding to 2113000001 its reverse (1000003112), we get a palindrome (3113003113).

The spelling of 2113000001 in words is "two billion, one hundred thirteen million, one", and thus it is an aban number.