1010113013101 has 2 divisors, whose sum is σ = 1010113013102. Its totient is φ = 1010113013100.

The previous prime is 1010113013089. The next prime is 1010113013111. The reversal of 1010113013101 is 1013103110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 837497692201 + 172615320900 = 915149^2 + 415470^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010113013101 - 2⁹ = 1010113012589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010113013111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505056506550 + 505056506551.

It is an arithmetic number, because the mean of its divisors is an integer number (505056506551).

Almost surely, 2^{1010113013101} is an apocalyptic number.

It is an amenable number.

1010113013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010113013101 is an equidigital number, since it uses as much as digits as its factorization.

1010113013101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1010113013101 its reverse (1013103110101), we get a palindrome (2023216123202).

The spelling of 1010113013101 in words is "one trillion, ten billion, one hundred thirteen million, thirteen thousand, one hundred one".