13035000 has 160 divisors (see below), whose sum is σ = 44985600. Its totient is φ = 3120000.

The previous prime is 13034993. The next prime is 13035013. The reversal of 13035000 is 53031.

It is a happy number.

It is a super-2 number, since 2×13035000² = 339822450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164961 + ... + 165039.

It is an arithmetic number, because the mean of its divisors is an integer number (281160).

Almost surely, 2^13035000 is an apocalyptic number.

13035000 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 13035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22492800).

13035000 is an abundant number, since it is smaller than the sum of its proper divisors (31950600).

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

13035000 is a wasteful number, since it uses less digits than its factorization.

13035000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 13035000 is about 3610.4016397071. The cubic root of 13035000 is about 235.3442968960.

Adding to 13035000 its reverse (53031), we get a palindrome (13088031).

The spelling of 13035000 in words is "thirteen million, thirty-five thousand".