2013100997 has 2 divisors, whose sum is σ = 2013100998. Its totient is φ = 2013100996.

The previous prime is 2013100981. The next prime is 2013101047. The reversal of 2013100997 is 7990013102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1706185636 + 306915361 = 41306^2 + 17519^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013100997 - 2⁴ = 2013100981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013100927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006550498 + 1006550499.

It is an arithmetic number, because the mean of its divisors is an integer number (1006550499).

Almost surely, 2^2013100997 is an apocalyptic number.

It is an amenable number.

2013100997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013100997 is an equidigital number, since it uses as much as digits as its factorization.

2013100997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 2013100997 is about 44867.5940629760. The cubic root of 2013100997 is about 1262.6661017545. Note that the first 3 decimals are identical.

The spelling of 2013100997 in words is "two billion, thirteen million, one hundred thousand, nine hundred ninety-seven".