13138357 has 2 divisors, whose sum is σ = 13138358. Its totient is φ = 13138356.

The previous prime is 13138343. The next prime is 13138369. The reversal of 13138357 is 75383131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7349521 + 5788836 = 2711^2 + 2406^2 .

It is an emirp because it is prime and its reverse (75383131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13138357 - 2¹¹ = 13136309 is a prime.

It is a super-3 number, since 3×13138357³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13138457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6569178 + 6569179.

It is an arithmetic number, because the mean of its divisors is an integer number (6569179).

Almost surely, 2^13138357 is an apocalyptic number.

It is an amenable number.

13138357 is a deficient number, since it is larger than the sum of its proper divisors (1).

13138357 is an equidigital number, since it uses as much as digits as its factorization.

13138357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 31.

The square root of 13138357 is about 3624.6871589145. The cubic root of 13138357 is about 235.9646899676.

The spelling of 13138357 in words is "thirteen million, one hundred thirty-eight thousand, three hundred fifty-seven".