13750131257 has 2 divisors, whose sum is σ = 13750131258. Its totient is φ = 13750131256.

The previous prime is 13750131247. The next prime is 13750131259. The reversal of 13750131257 is 75213105731.

13750131257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13744279696 + 5851561 = 117236^2 + 2419^2 .

It is a cyclic number.

It is not a de Polignac number, because 13750131257 - 2¹² = 13750127161 is a prime.

It is a super-2 number, since 2×13750131257² (a number of 21 digits) contains 22 as substring.

Together with 13750131259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13750131259) 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, 6875065628 + 6875065629.

It is an arithmetic number, because the mean of its divisors is an integer number (6875065629).

Almost surely, 2^13750131257 is an apocalyptic number.

It is an amenable number.

13750131257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13750131257 is an equidigital number, since it uses as much as digits as its factorization.

13750131257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22050, while the sum is 35.

Adding to 13750131257 its reverse (75213105731), we get a palindrome (88963236988).

The spelling of 13750131257 in words is "thirteen billion, seven hundred fifty million, one hundred thirty-one thousand, two hundred fifty-seven".