13012000 has 48 divisors (see below), whose sum is σ = 31980312. Its totient is φ = 5203200.

The previous prime is 13011967. The next prime is 13012001. The reversal of 13012000 is 21031.

It can be written as a sum of positive squares in 4 ways, for example, as 8363664 + 4648336 = 2892^2 + 2156^2 .

It is not an unprimeable number, because it can be changed into a prime (13012001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2374 + ... + 5626.

Almost surely, 2^13012000 is an apocalyptic number.

13012000 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 13012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990156).

13012000 is an abundant number, since it is smaller than the sum of its proper divisors (18968312).

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

13012000 is an equidigital number, since it uses as much as digits as its factorization.

13012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 13012000 is about 3607.2149922066. The cubic root of 13012000 is about 235.2057952820.

Adding to 13012000 its reverse (21031), we get a palindrome (13033031).

The spelling of 13012000 in words is "thirteen million, twelve thousand".