11331311013000 has 768 divisors, whose sum is σ = 43721255485440. Its totient is φ = 2622267648000.

The previous prime is 11331311012929. The next prime is 11331311013023. The reversal of 11331311013000 is 31011313311.

11331311013000 is a `hidden beast` number, since 1 + 1 + 331 + 31 + 1 + 0 + 1 + 300 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 194109817 + ... + 194168183.

It is an arithmetic number, because the mean of its divisors is an integer number (56928718080).

Almost surely, 2^{11331311013000} is an apocalyptic number.

11331311013000 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 11331311013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21860627742720).

11331311013000 is an abundant number, since it is smaller than the sum of its proper divisors (32389944472440).

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

11331311013000 is a wasteful number, since it uses less digits than its factorization.

11331311013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58495 (or 58478 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11331311013000 its reverse (31011313311), we get a palindrome (11362322326311).

The spelling of 11331311013000 in words is "eleven trillion, three hundred thirty-one billion, three hundred eleven million, thirteen thousand".