101002002000013 has 2 divisors, whose sum is σ = 101002002000014. Its totient is φ = 101002002000012.

The previous prime is 101002001999953. The next prime is 101002002000101. The reversal of 101002002000013 is 310000200200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87856540805124 + 13145461194889 = 9373182^2 + 3625667^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101002002000013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101002002300013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501001000006 + 50501001000007.

It is an arithmetic number, because the mean of its divisors is an integer number (50501001000007).

Almost surely, 2^{101002002000013} is an apocalyptic number.

It is an amenable number.

101002002000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002002000013 is an equidigital number, since it uses as much as digits as its factorization.

101002002000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101002002000013 its reverse (310000200200101), we get a palindrome (411002202200114).

The spelling of 101002002000013 in words is "one hundred one trillion, two billion, two million, thirteen", and thus it is an aban number.