13107000 has 128 divisors (see below), whose sum is σ = 43467840. Its totient is φ = 3276800.

The previous prime is 13106971. The next prime is 13107007. The reversal of 13107000 is 70131.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13107007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50872 + ... + 51128.

Almost surely, 2^13107000 is an apocalyptic number.

13107000 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 13107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21733920).

13107000 is an abundant number, since it is smaller than the sum of its proper divisors (30360840).

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

13107000 is a wasteful number, since it uses less digits than its factorization.

13107000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 13107000 is about 3620.3590982111. The cubic root of 13107000 is about 235.7768166779.

Adding to 13107000 its reverse (70131), we get a palindrome (13177131).

The spelling of 13107000 in words is "thirteen million, one hundred seven thousand".