12311131113000 has 448 divisors, whose sum is σ = 43588852678800. Its totient is φ = 3252828326400.

The previous prime is 12311131112981. The next prime is 12311131113077. The reversal of 12311131113000 is 31113111321.

12311131113000 is a `hidden beast` number, since 1 + 231 + 1 + 131 + 1 + 1 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4131519672996 + 8179611440004 = 2032614^2 + 2860002^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 79383534 + ... + 79538466.

Almost surely, 2^{12311131113000} is an apocalyptic number.

12311131113000 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 12311131113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21794426339400).

12311131113000 is an abundant number, since it is smaller than the sum of its proper divisors (31277721565800).

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

12311131113000 is a wasteful number, since it uses less digits than its factorization.

12311131113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155081 (or 155052 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 12311131113000 its reverse (31113111321), we get a palindrome (12342244224321).

The spelling of 12311131113000 in words is "twelve trillion, three hundred eleven billion, one hundred thirty-one million, one hundred thirteen thousand".