135111313 has 2 divisors, whose sum is σ = 135111314. Its totient is φ = 135111312.

The previous prime is 135111307. The next prime is 135111421. The reversal of 135111313 is 313111531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87459904 + 47651409 = 9352^2 + 6903^2 .

It is an emirp because it is prime and its reverse (313111531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135111313 - 2⁵ = 135111281 is a prime.

It is not a weakly prime, because it can be changed into another prime (135211313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67555656 + 67555657.

It is an arithmetic number, because the mean of its divisors is an integer number (67555657).

Almost surely, 2^135111313 is an apocalyptic number.

It is an amenable number.

135111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

135111313 is an equidigital number, since it uses as much as digits as its factorization.

135111313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 135, while the sum is 19.

The square root of 135111313 is about 11623.7392004466. The cubic root of 135111313 is about 513.1337397522.

Adding to 135111313 its reverse (313111531), we get a palindrome (448222844).

It can be divided in two parts, 135111 and 313, that added together give a square (135424 = 368²).

The spelling of 135111313 in words is "one hundred thirty-five million, one hundred eleven thousand, three hundred thirteen".