13137135 has 32 divisors (see below), whose sum is σ = 23182848. Its totient is φ = 6299520.

The previous prime is 13137121. The next prime is 13137167. The reversal of 13137135 is 53173131.

It is not a de Polignac number, because 13137135 - 2⁴ = 13137119 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16609 + ... + 17381.

It is an arithmetic number, because the mean of its divisors is an integer number (724464).

Almost surely, 2^13137135 is an apocalyptic number.

13137135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13137135 is a deficient number, since it is larger than the sum of its proper divisors (10045713).

13137135 is a wasteful number, since it uses less digits than its factorization.

13137135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895.

The product of its digits is 945, while the sum is 24.

The square root of 13137135 is about 3624.5185887232. The cubic root of 13137135 is about 235.9573740404.

It can be divided in two parts, 1313 and 7135, that added together give a palindrome (8448).

The spelling of 13137135 in words is "thirteen million, one hundred thirty-seven thousand, one hundred thirty-five".