1133331000000 has 784 divisors, whose sum is σ = 4024260988800. Its totient is φ = 280627200000.

The previous prime is 1133330999939. The next prime is 1133331000031. The reversal of 1133331000000 is 1333311.

It is a super-3 number, since 3×1133331000000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 3362999832 + ... + 3363000168.

Almost surely, 2^{1133331000000} is an apocalyptic number.

1133331000000 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 1133331000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012130494400).

1133331000000 is an abundant number, since it is smaller than the sum of its proper divisors (2890929988800).

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

1133331000000 is an frugal number, since it uses more digits than its factorization.

1133331000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 1133331000000 its reverse (1333311), we get a palindrome (1133332333311).

The spelling of 1133331000000 in words is "one trillion, one hundred thirty-three billion, three hundred thirty-one million", and thus it is an aban number.