11133312000000 has 784 divisors, whose sum is σ = 37680417684480. Its totient is φ = 2923315200000.

The previous prime is 11133311999989. The next prime is 11133312000053. The reversal of 11133312000000 is 21333111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 30335999817 + ... + 30336000183.

Almost surely, 2^{11133312000000} is an apocalyptic number.

11133312000000 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 11133312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18840208842240).

11133312000000 is an abundant number, since it is smaller than the sum of its proper divisors (26547105684480).

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

11133312000000 is an frugal number, since it uses more digits than its factorization.

11133312000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11133312000000 its reverse (21333111), we get a palindrome (11133333333111).

The spelling of 11133312000000 in words is "eleven trillion, one hundred thirty-three billion, three hundred twelve million", and thus it is an aban number.