13135720 has 32 divisors (see below), whose sum is σ = 31830120. Its totient is φ = 4849920.

The previous prime is 13135711. The next prime is 13135721. The reversal of 13135720 is 2753131.

13135720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5484964 + 7650756 = 2342^2 + 2766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13135691 and 13135700.

It is not an unprimeable number, because it can be changed into a prime (13135721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12111 + ... + 13150.

Almost surely, 2^13135720 is an apocalyptic number.

13135720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13135720 is an abundant number, since it is smaller than the sum of its proper divisors (18694400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13135720 is a wasteful number, since it uses less digits than its factorization.

13135720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25285 (or 25281 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 13135720 is about 3624.3233851300. The cubic root of 13135720 is about 235.9489020848.

Adding to 13135720 its reverse (2753131), we get a palindrome (15888851).

The spelling of 13135720 in words is "thirteen million, one hundred thirty-five thousand, seven hundred twenty".