13012313000 has 64 divisors (see below), whose sum is σ = 30575722320. Its totient is φ = 5183232000.

The previous prime is 13012312987. The next prime is 13012313003. The reversal of 13012313000 is 31321031.

It can be written as a sum of positive squares in 8 ways, for example, as 4749139396 + 8263173604 = 68914^2 + 90902^2 .

It is not an unprimeable number, because it can be changed into a prime (13012313003) 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, 214004 + ... + 267996.

Almost surely, 2^13012313000 is an apocalyptic number.

13012313000 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 13012313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15287861160).

13012313000 is an abundant number, since it is smaller than the sum of its proper divisors (17563409320).

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

13012313000 is a wasteful number, since it uses less digits than its factorization.

13012313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54255 (or 54241 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13012313000 its reverse (31321031), we get a palindrome (13043634031).

The spelling of 13012313000 in words is "thirteen billion, twelve million, three hundred thirteen thousand".