11331312300000 has 1728 divisors, whose sum is σ = 50694493344768. Its totient is φ = 2332108800000.

The previous prime is 11331312299981. The next prime is 11331312300019. The reversal of 11331312300000 is 321313311.

It is a happy number.

11331312300000 is a `hidden beast` number, since 1 + 1 + 331 + 31 + 2 + 300 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11331312299981) and next prime (11331312300019).

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 287 ways as a sum of consecutive naturals, for example, 7830899277 + ... + 7830900723.

It is an arithmetic number, because the mean of its divisors is an integer number (29337091056).

Almost surely, 2^{11331312300000} is an apocalyptic number.

11331312300000 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 11331312300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25347246672384).

11331312300000 is an abundant number, since it is smaller than the sum of its proper divisors (39363181044768).

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

11331312300000 is a wasteful number, since it uses less digits than its factorization.

11331312300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11331312300000 its reverse (321313311), we get a palindrome (11331633613311).

The spelling of 11331312300000 in words is "eleven trillion, three hundred thirty-one billion, three hundred twelve million, three hundred thousand".