13135877 has 2 divisors, whose sum is σ = 13135878. Its totient is φ = 13135876.

The previous prime is 13135873. The next prime is 13135879. The reversal of 13135877 is 77853131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9728161 + 3407716 = 3119^2 + 1846^2 .

It is a cyclic number.

It is not a de Polignac number, because 13135877 - 2² = 13135873 is a prime.

It is a super-3 number, since 3×13135877³ (a number of 22 digits) contains 333 as substring.

Together with 13135879, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₈₅₇₄₇₄ and since 13135877 and 857474 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13135873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6567938 + 6567939.

It is an arithmetic number, because the mean of its divisors is an integer number (6567939).

Almost surely, 2^13135877 is an apocalyptic number.

It is an amenable number.

13135877 is a deficient number, since it is larger than the sum of its proper divisors (1).

13135877 is an equidigital number, since it uses as much as digits as its factorization.

13135877 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17640, while the sum is 35.

The square root of 13135877 is about 3624.3450442804. The cubic root of 13135877 is about 235.9498421127.

The spelling of 13135877 in words is "thirteen million, one hundred thirty-five thousand, eight hundred seventy-seven".