13131347377 has 2 divisors, whose sum is σ = 13131347378. Its totient is φ = 13131347376.

The previous prime is 13131347357. The next prime is 13131347399. The reversal of 13131347377 is 77374313131.

13131347377 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., 12959317921 + 172029456 = 113839^2 + 13116^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131347377 - 2¹¹ = 13131345329 is a prime.

It is not a weakly prime, because it can be changed into another prime (13131347357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565673688 + 6565673689.

It is an arithmetic number, because the mean of its divisors is an integer number (6565673689).

Almost surely, 2^13131347377 is an apocalyptic number.

It is an amenable number.

13131347377 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131347377 is an equidigital number, since it uses as much as digits as its factorization.

13131347377 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 111132, while the sum is 40.

The spelling of 13131347377 in words is "thirteen billion, one hundred thirty-one million, three hundred forty-seven thousand, three hundred seventy-seven".