13381257 has 16 divisors (see below), whose sum is σ = 18247680. Its totient is φ = 8720400.

The previous prime is 13381241. The next prime is 13381271. The reversal of 13381257 is 75218331.

It is not a de Polignac number, because 13381257 - 2⁴ = 13381241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13381217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30832 + ... + 31262.

It is an arithmetic number, because the mean of its divisors is an integer number (1140480).

Almost surely, 2^13381257 is an apocalyptic number.

It is an amenable number.

13381257 is a deficient number, since it is larger than the sum of its proper divisors (4866423).

13381257 is a wasteful number, since it uses less digits than its factorization.

13381257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644.

The product of its digits is 5040, while the sum is 30.

The square root of 13381257 is about 3658.0400489880. The cubic root of 13381257 is about 237.4099795493.

Adding to 13381257 its reverse (75218331), we get a palindrome (88599588).

The spelling of 13381257 in words is "thirteen million, three hundred eighty-one thousand, two hundred fifty-seven".