12311201331000 has 768 divisors, whose sum is σ = 49047475276800. Its totient is φ = 2745892224000.

The previous prime is 12311201330969. The next prime is 12311201331059. The reversal of 12311201331000 is 13310211321.

12311201331000 is a `hidden beast` number, since 1 + 2 + 311 + 20 + 1 + 331 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×12311201331000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 395093421 + ... + 395124579.

It is an arithmetic number, because the mean of its divisors is an integer number (63863900100).

Almost surely, 2^{12311201331000} is an apocalyptic number.

12311201331000 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 12311201331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24523737638400).

12311201331000 is an abundant number, since it is smaller than the sum of its proper divisors (36736273945800).

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

12311201331000 is a wasteful number, since it uses less digits than its factorization.

12311201331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31517 (or 31500 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12311201331000 its reverse (13310211321), we get a palindrome (12324511542321).

The spelling of 12311201331000 in words is "twelve trillion, three hundred eleven billion, two hundred one million, three hundred thirty-one thousand".