101002000111013 has 2 divisors, whose sum is σ = 101002000111014. Its totient is φ = 101002000111012.

The previous prime is 101002000110929. The next prime is 101002000111027. The reversal of 101002000111013 is 310111000200101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67047814722529 + 33954185388484 = 8188273^2 + 5827022^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101002000111013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101002000110985 and 101002000111003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101002000111513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501000055506 + 50501000055507.

It is an arithmetic number, because the mean of its divisors is an integer number (50501000055507).

Almost surely, 2^{101002000111013} is an apocalyptic number.

It is an amenable number.

101002000111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002000111013 is an equidigital number, since it uses as much as digits as its factorization.

101002000111013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101002000111013 its reverse (310111000200101), we get a palindrome (411113000311114).

The spelling of 101002000111013 in words is "one hundred one trillion, two billion, one hundred eleven thousand, thirteen".