13015000 has 80 divisors (see below), whose sum is σ = 32333400. Its totient is φ = 4896000.

The previous prime is 13014983. The next prime is 13015003. The reversal of 13015000 is 51031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13015003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94932 + ... + 95068.

Almost surely, 2^13015000 is an apocalyptic number.

13015000 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 13015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16166700).

13015000 is an abundant number, since it is smaller than the sum of its proper divisors (19318400).

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

13015000 is a wasteful number, since it uses less digits than its factorization.

13015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 13015000 is about 3607.6308015095. The cubic root of 13015000 is about 235.2238699608.

Adding to 13015000 its reverse (51031), we get a palindrome (13066031).

The spelling of 13015000 in words is "thirteen million, fifteen thousand".