1010111001013 has 2 divisors, whose sum is σ = 1010111001014. Its totient is φ = 1010111001012.

The previous prime is 1010111000993. The next prime is 1010111001089. The reversal of 1010111001013 is 3101001110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 598740131089 + 411370869924 = 773783^2 + 641382^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010111001013 - 2⁵ = 1010111000981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010111041013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055500506 + 505055500507.

It is an arithmetic number, because the mean of its divisors is an integer number (505055500507).

Almost surely, 2^{1010111001013} is an apocalyptic number.

It is an amenable number.

1010111001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010111001013 is an equidigital number, since it uses as much as digits as its factorization.

1010111001013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 1010111001013 its reverse (3101001110101), we get a palindrome (4111112111114).

The spelling of 1010111001013 in words is "one trillion, ten billion, one hundred eleven million, one thousand, thirteen".