13106372187749 has 2 divisors, whose sum is σ = 13106372187750. Its totient is φ = 13106372187748.

The previous prime is 13106372187743. The next prime is 13106372187781. The reversal of 13106372187749 is 94778127360131.

13106372187749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8132803165249 + 4973569022500 = 2851807^2 + 2230150^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13106372187749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13106372187743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6553186093874 + 6553186093875.

It is an arithmetic number, because the mean of its divisors is an integer number (6553186093875).

Almost surely, 2^{13106372187749} is an apocalyptic number.

It is an amenable number.

13106372187749 is a deficient number, since it is larger than the sum of its proper divisors (1).

13106372187749 is an equidigital number, since it uses as much as digits as its factorization.

13106372187749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10668672, while the sum is 59.

The spelling of 13106372187749 in words is "thirteen trillion, one hundred six billion, three hundred seventy-two million, one hundred eighty-seven thousand, seven hundred forty-nine".