1133033100000 has 288 divisors, whose sum is σ = 3722057710560. Its totient is φ = 301774080000.

The previous prime is 1133033099993. The next prime is 1133033100037. The reversal of 1133033100000 is 13303311.

It is a super-3 number, since 3×1133033100000³ (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320698234 + ... + 320701766.

It is an arithmetic number, because the mean of its divisors is an integer number (12923811495).

Almost surely, 2^{1133033100000} is an apocalyptic number.

1133033100000 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 1133033100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861028855280).

1133033100000 is an abundant number, since it is smaller than the sum of its proper divisors (2589024610560).

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

1133033100000 is an equidigital number, since it uses as much as digits as its factorization.

1133033100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640 (or 4612 counting only the distinct ones).

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

Adding to 1133033100000 its reverse (13303311), we get a palindrome (1133046403311).

The spelling of 1133033100000 in words is "one trillion, one hundred thirty-three billion, thirty-three million, one hundred thousand".