13100102231213 has 2 divisors, whose sum is σ = 13100102231214. Its totient is φ = 13100102231212.

The previous prime is 13100102231207. The next prime is 13100102231261. The reversal of 13100102231213 is 31213220100131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13100070837604 + 31393609 = 3619402^2 + 5603^2 .

It is an emirp because it is prime and its reverse (31213220100131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13100102231213 - 2⁴ = 13100102231197 is a prime.

It is a super-2 number, since 2×13100102231213² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13100102230213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550051115606 + 6550051115607.

It is an arithmetic number, because the mean of its divisors is an integer number (6550051115607).

Almost surely, 2^{13100102231213} is an apocalyptic number.

It is an amenable number.

13100102231213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13100102231213 is an equidigital number, since it uses as much as digits as its factorization.

13100102231213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13100102231213 its reverse (31213220100131), we get a palindrome (44313322331344).

The spelling of 13100102231213 in words is "thirteen trillion, one hundred billion, one hundred two million, two hundred thirty-one thousand, two hundred thirteen".