13121257 has 2 divisors, whose sum is σ = 13121258. Its totient is φ = 13121256.

The previous prime is 13121243. The next prime is 13121279. The reversal of 13121257 is 75212131.

It is a happy number.

13121257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (13121279) can be obtained adding 13121257 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8503056 + 4618201 = 2916^2 + 2149^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121257 - 2²³ = 4732649 is a prime.

It is not a weakly prime, because it can be changed into another prime (13121657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560628 + 6560629.

It is an arithmetic number, because the mean of its divisors is an integer number (6560629).

Almost surely, 2^13121257 is an apocalyptic number.

It is an amenable number.

13121257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121257 is an equidigital number, since it uses as much as digits as its factorization.

13121257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 420, while the sum is 22.

The square root of 13121257 is about 3622.3275666345. The cubic root of 13121257 is about 235.8622736096.

Adding to 13121257 its reverse (75212131), we get a palindrome (88333388).

The spelling of 13121257 in words is "thirteen million, one hundred twenty-one thousand, two hundred fifty-seven".