12311013000 has 256 divisors, whose sum is σ = 45127031040. Its totient is φ = 2754816000.

The previous prime is 12311012999. The next prime is 12311013019. The reversal of 12311013000 is 31011321.

12311013000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12311013000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 414652 + ... + 443348.

It is an arithmetic number, because the mean of its divisors is an integer number (176277465).

Almost surely, 2^12311013000 is an apocalyptic number.

12311013000 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 12311013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22563515520).

12311013000 is an abundant number, since it is smaller than the sum of its proper divisors (32816018040).

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

12311013000 is a wasteful number, since it uses less digits than its factorization.

12311013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28745 (or 28731 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12311013000 its reverse (31011321), we get a palindrome (12342024321).

The spelling of 12311013000 in words is "twelve billion, three hundred eleven million, thirteen thousand".