10100583915113 has 2 divisors, whose sum is σ = 10100583915114. Its totient is φ = 10100583915112.

The previous prime is 10100583915091. The next prime is 10100583915139. The reversal of 10100583915113 is 31151938500101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9319813748569 + 780770166544 = 3052837^2 + 883612^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100583915113 - 2¹² = 10100583911017 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100583915413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050291957556 + 5050291957557.

It is an arithmetic number, because the mean of its divisors is an integer number (5050291957557).

Almost surely, 2^{10100583915113} is an apocalyptic number.

It is an amenable number.

10100583915113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100583915113 is an equidigital number, since it uses as much as digits as its factorization.

10100583915113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 38.

The spelling of 10100583915113 in words is "ten trillion, one hundred billion, five hundred eighty-three million, nine hundred fifteen thousand, one hundred thirteen".