13135000 has 80 divisors (see below), whose sum is σ = 32052240. Its totient is φ = 5040000.

The previous prime is 13134983. The next prime is 13135019. The reversal of 13135000 is 53131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 184965 + ... + 185035.

It is an arithmetic number, because the mean of its divisors is an integer number (400653).

Almost surely, 2^13135000 is an apocalyptic number.

13135000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16026120).

13135000 is an abundant number, since it is smaller than the sum of its proper divisors (18917240).

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

13135000 is an equidigital number, since it uses as much as digits as its factorization.

13135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 13135000 is about 3624.2240548840. The cubic root of 13135000 is about 235.9445910329.

Adding to 13135000 its reverse (53131), we get a palindrome (13188131).

The spelling of 13135000 in words is "thirteen million, one hundred thirty-five thousand".