101002002300013 has 2 divisors, whose sum is σ = 101002002300014. Its totient is φ = 101002002300012.

The previous prime is 101002002299999. The next prime is 101002002300029. The reversal of 101002002300013 is 310003200200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77899723470724 + 23102278829289 = 8826082^2 + 4806483^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002002300013 - 2¹³ = 101002002291821 is a prime.

It is a super-2 number, since 2×101002002300013² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101002002299966 and 101002002300002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101002002300083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501001150006 + 50501001150007.

It is an arithmetic number, because the mean of its divisors is an integer number (50501001150007).

Almost surely, 2^{101002002300013} is an apocalyptic number.

It is an amenable number.

101002002300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002002300013 is an equidigital number, since it uses as much as digits as its factorization.

101002002300013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 101002002300013 its reverse (310003200200101), we get a palindrome (411005202500114).

The spelling of 101002002300013 in words is "one hundred one trillion, two billion, two million, three hundred thousand, thirteen".