13135300 has 36 divisors (see below), whose sum is σ = 29748096. Its totient is φ = 5024800.

The previous prime is 13135279. The next prime is 13135301. The reversal of 13135300 is 353131.

It is a super-2 number, since 2×13135300² = 345072212180000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13135301) 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 11 ways as a sum of consecutive naturals, for example, 556 + ... + 5155.

It is an arithmetic number, because the mean of its divisors is an integer number (826336).

Almost surely, 2^13135300 is an apocalyptic number.

13135300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13135300 is an abundant number, since it is smaller than the sum of its proper divisors (16612796).

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

13135300 is a wasteful number, since it uses less digits than its factorization.

13135300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 13135300 is about 3624.2654428173. The cubic root of 13135300 is about 235.9463873237.

Adding to 13135300 its reverse (353131), we get a palindrome (13488431).

The spelling of 13135300 in words is "thirteen million, one hundred thirty-five thousand, three hundred".