1133133323120 has 80 divisors (see below), whose sum is σ = 2791995363360. Its totient is φ = 426210926592.

The previous prime is 1133133323117. The next prime is 1133133323123. The reversal of 1133133323120 is 213233313311.

It is an interprime number because it is at equal distance from previous prime (1133133323117) and next prime (1133133323123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1133133323120² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1133133323120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133133323123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1156316 + ... + 1898244.

It is an arithmetic number, because the mean of its divisors is an integer number (34899942042).

Almost surely, 2^{1133133323120} is an apocalyptic number.

1133133323120 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 1133133323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395997681680).

1133133323120 is an abundant number, since it is smaller than the sum of its proper divisors (1658862040240).

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

1133133323120 is a wasteful number, since it uses less digits than its factorization.

1133133323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743082 (or 743076 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 1133133323120 its reverse (213233313311), we get a palindrome (1346366636431).

The spelling of 1133133323120 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-three million, three hundred twenty-three thousand, one hundred twenty".