13100013210337 has 2 divisors, whose sum is σ = 13100013210338. Its totient is φ = 13100013210336.

The previous prime is 13100013210283. The next prime is 13100013210377. The reversal of 13100013210337 is 73301231000131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13038627697216 + 61385513121 = 3610904^2 + 247761^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13100013210337 is a prime.

It is a super-2 number, since 2×13100013210337² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13100013210377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550006605168 + 6550006605169.

It is an arithmetic number, because the mean of its divisors is an integer number (6550006605169).

Almost surely, 2^{13100013210337} is an apocalyptic number.

It is an amenable number.

13100013210337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13100013210337 is an equidigital number, since it uses as much as digits as its factorization.

13100013210337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 13100013210337 its reverse (73301231000131), we get a palindrome (86401244210468).

The spelling of 13100013210337 in words is "thirteen trillion, one hundred billion, thirteen million, two hundred ten thousand, three hundred thirty-seven".