1131033221120 has 192 divisors, whose sum is σ = 3089253323520. Its totient is φ = 393401958400.

The previous prime is 1131033221033. The next prime is 1131033221141. The reversal of 1131033221120 is 211223301311.

It is a happy number.

It is a super-2 number, since 2×1131033221120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1131033221092 and 1131033221101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2372435 + ... + 2809005.

It is an arithmetic number, because the mean of its divisors is an integer number (16089861060).

Almost surely, 2^{1131033221120} is an apocalyptic number.

1131033221120 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 1131033221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544626661760).

1131033221120 is an abundant number, since it is smaller than the sum of its proper divisors (1958220102400).

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

1131033221120 is a wasteful number, since it uses less digits than its factorization.

1131033221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436632 (or 436612 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1131033221120 its reverse (211223301311), we get a palindrome (1342256522431).

The spelling of 1131033221120 in words is "one trillion, one hundred thirty-one billion, thirty-three million, two hundred twenty-one thousand, one hundred twenty".