101213001300013 has 2 divisors, whose sum is σ = 101213001300014. Its totient is φ = 101213001300012.

The previous prime is 101213001299981. The next prime is 101213001300029. The reversal of 101213001300013 is 310003100312101.

It is an a-pointer prime, because the next prime (101213001300029) can be obtained adding 101213001300013 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90895973787844 + 10317027512169 = 9533938^2 + 3212013^2 .

It is a cyclic number.

It is not a de Polignac number, because 101213001300013 - 2⁵ = 101213001299981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101213001300013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101213001300913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50606500650006 + 50606500650007.

It is an arithmetic number, because the mean of its divisors is an integer number (50606500650007).

Almost surely, 2^{101213001300013} is an apocalyptic number.

It is an amenable number.

101213001300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101213001300013 is an equidigital number, since it uses as much as digits as its factorization.

101213001300013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101213001300013 its reverse (310003100312101), we get a palindrome (411216101612114).

The spelling of 101213001300013 in words is "one hundred one trillion, two hundred thirteen billion, one million, three hundred thousand, thirteen".