12913000 has 64 divisors (see below), whose sum is σ = 31122000. Its totient is φ = 5011200.

The previous prime is 12912971. The next prime is 12913003. The reversal of 12913000 is 31921.

It can be written as a sum of positive squares in 8 ways, for example, as 3290596 + 9622404 = 1814^2 + 3102^2 .

It is not an unprimeable number, because it can be changed into a prime (12913003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36826 + ... + 37174.

Almost surely, 2^12913000 is an apocalyptic number.

12913000 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 12913000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15561000).

12913000 is an abundant number, since it is smaller than the sum of its proper divisors (18209000).

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

12913000 is a wasteful number, since it uses less digits than its factorization.

12913000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 12913000 is about 3593.4662931493. The cubic root of 12913000 is about 234.6077657929.

Adding to 12913000 its reverse (31921), we get a palindrome (12944921).

The spelling of 12913000 in words is "twelve million, nine hundred thirteen thousand".