1131020340224 has 88 divisors (see below), whose sum is σ = 2336021465088. Its totient is φ = 546763345920.

The previous prime is 1131020340217. The next prime is 1131020340227. The reversal of 1131020340224 is 4220430201311.

It is a super-3 number, since 3×1131020340224³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1131020340224.

It is not an unprimeable number, because it can be changed into a prime (1131020340227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35632649 + ... + 35664375.

Almost surely, 2^{1131020340224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131020340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168010732544).

1131020340224 is an abundant number, since it is smaller than the sum of its proper divisors (1205001124864).

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

1131020340224 is a wasteful number, since it uses less digits than its factorization.

1131020340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32901 (or 32883 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1131020340224 its reverse (4220430201311), we get a palindrome (5351450541535).

The spelling of 1131020340224 in words is "one trillion, one hundred thirty-one billion, twenty million, three hundred forty thousand, two hundred twenty-four".