12893413000 has 256 divisors, whose sum is σ = 33522128640. Its totient is φ = 4612608000.

The previous prime is 12893412989. The next prime is 12893413031. The reversal of 12893413000 is 31439821.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98422935 + ... + 98423065.

It is an arithmetic number, because the mean of its divisors is an integer number (130945815).

Almost surely, 2^12893413000 is an apocalyptic number.

12893413000 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 12893413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16761064320).

12893413000 is an abundant number, since it is smaller than the sum of its proper divisors (20628715640).

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

12893413000 is a wasteful number, since it uses less digits than its factorization.

12893413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 12893413000 in words is "twelve billion, eight hundred ninety-three million, four hundred thirteen thousand".