1133133313120 has 96 divisors (see below), whose sum is σ = 2773151216640. Its totient is φ = 437081771520.

The previous prime is 1133133313111. The next prime is 1133133313127. The reversal of 1133133313120 is 213133313311.

It is a super-2 number, since 2×1133133313120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133133313127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000051 + ... + 1807309.

It is an arithmetic number, because the mean of its divisors is an integer number (28886991840).

Almost surely, 2^{1133133313120} is an apocalyptic number.

1133133313120 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 1133133313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386575608320).

1133133313120 is an abundant number, since it is smaller than the sum of its proper divisors (1640017903520).

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

1133133313120 is a wasteful number, since it uses less digits than its factorization.

1133133313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807588 (or 807580 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 1133133313120 its reverse (213133313311), we get a palindrome (1346266626431).

The spelling of 1133133313120 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred twenty".