13112321000 has 128 divisors (see below), whose sum is σ = 33609232800. Its totient is φ = 4766003200.

The previous prime is 13112320997. The next prime is 13112321003. The reversal of 13112321000 is 12321131.

It is an interprime number because it is at equal distance from previous prime (13112320997) and next prime (13112321003).

It can be written as a sum of positive squares in 16 ways, for example, as 418693444 + 12693627556 = 20462^2 + 112666^2 .

It is not an unprimeable number, because it can be changed into a prime (13112321003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479702 + ... + 506298.

Almost surely, 2^13112321000 is an apocalyptic number.

13112321000 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 13112321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16804616400).

13112321000 is an abundant number, since it is smaller than the sum of its proper divisors (20496911800).

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

13112321000 is a wasteful number, since it uses less digits than its factorization.

13112321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26664 (or 26650 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13112321000 its reverse (12321131), we get a palindrome (13124642131).

The spelling of 13112321000 in words is "thirteen billion, one hundred twelve million, three hundred twenty-one thousand".