13125413035237 has 2 divisors, whose sum is σ = 13125413035238. Its totient is φ = 13125413035236.

The previous prime is 13125413035219. The next prime is 13125413035243. The reversal of 13125413035237 is 73253031452131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7442715121956 + 5682697913281 = 2728134^2 + 2383841^2 .

It is a cyclic number.

It is not a de Polignac number, because 13125413035237 - 2³¹ = 13123265551589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13125413035237.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13125413036237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6562706517618 + 6562706517619.

It is an arithmetic number, because the mean of its divisors is an integer number (6562706517619).

Almost surely, 2^{13125413035237} is an apocalyptic number.

It is an amenable number.

13125413035237 is a deficient number, since it is larger than the sum of its proper divisors (1).

13125413035237 is an equidigital number, since it uses as much as digits as its factorization.

13125413035237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 226800, while the sum is 40.

Adding to 13125413035237 its reverse (73253031452131), we get a palindrome (86378444487368).

The spelling of 13125413035237 in words is "thirteen trillion, one hundred twenty-five billion, four hundred thirteen million, thirty-five thousand, two hundred thirty-seven".