12513105000 has 480 divisors, whose sum is σ = 48948831360. Its totient is φ = 2853120000.

The previous prime is 12513104993. The next prime is 12513105043. The reversal of 12513105000 is 50131521.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8414257 + ... + 8415743.

It is an arithmetic number, because the mean of its divisors is an integer number (101976732).

Almost surely, 2^12513105000 is an apocalyptic number.

12513105000 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 12513105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24474415680).

12513105000 is an abundant number, since it is smaller than the sum of its proper divisors (36435726360).

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

12513105000 is a wasteful number, since it uses less digits than its factorization.

12513105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 12513105000 its reverse (50131521), we get a palindrome (12563236521).

The spelling of 12513105000 in words is "twelve billion, five hundred thirteen million, one hundred five thousand".