13135020 has 48 divisors (see below), whose sum is σ = 37013760. Its totient is φ = 3480256.

The previous prime is 13135019. The next prime is 13135027. The reversal of 13135020 is 2053131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13135027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10129 + ... + 11351.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 2^13135020 is an apocalyptic number.

13135020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13135020 is an abundant number, since it is smaller than the sum of its proper divisors (23878740).

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

13135020 is a wasteful number, since it uses less digits than its factorization.

13135020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13135020 is about 3624.2268140943. The cubic root of 13135020 is about 235.9447107864.

Adding to 13135020 its reverse (2053131), we get a palindrome (15188151).

The spelling of 13135020 in words is "thirteen million, one hundred thirty-five thousand, twenty".