12131213000 has 128 divisors (see below), whose sum is σ = 29009841120. Its totient is φ = 4747161600.

The previous prime is 12131212999. The next prime is 12131213011. The reversal of 12131213000 is 31213121.

12131213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 2071524196 + 10059688804 = 45514^2 + 100298^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10000394 + ... + 10001606.

Almost surely, 2^12131213000 is an apocalyptic number.

12131213000 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 12131213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14504920560).

12131213000 is an abundant number, since it is smaller than the sum of its proper divisors (16878628120).

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

12131213000 is a wasteful number, since it uses less digits than its factorization.

12131213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1430 counting only the distinct ones).

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

Adding to 12131213000 its reverse (31213121), we get a palindrome (12162426121).

It can be divided in two parts, 1213121 and 3000, that added together give a palindrome (1216121).

The spelling of 12131213000 in words is "twelve billion, one hundred thirty-one million, two hundred thirteen thousand".