2113000101 has 10 divisors (see below), whose sum is σ = 3156457062. Its totient is φ = 1408666680.

The previous prime is 2113000081. The next prime is 2113000121. The reversal of 2113000101 is 1010003112.

It is an interprime number because it is at equal distance from previous prime (2113000081) and next prime (2113000121).

It can be written as a sum of positive squares in only one way, i.e., 1909253025 + 203747076 = 43695^2 + 14274^2 .

It is not a de Polignac number, because 2113000101 - 2¹⁷ = 2112869029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13043130 + ... + 13043291.

Almost surely, 2^2113000101 is an apocalyptic number.

It is an amenable number.

2113000101 is a deficient number, since it is larger than the sum of its proper divisors (1043456961).

2113000101 is an equidigital number, since it uses as much as digits as its factorization.

2113000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26086433 (or 26086424 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2113000101 is about 45967.3808368499. The cubic root of 2113000101 is about 1283.2162163470.

Adding to 2113000101 its reverse (1010003112), we get a palindrome (3123003213).

The spelling of 2113000101 in words is "two billion, one hundred thirteen million, one hundred one", and thus it is an aban number.