1133221121321 has 8 divisors (see below), whose sum is σ = 1133864037288. Its totient is φ = 1132578304000.

The previous prime is 1133221121317. The next prime is 1133221121393. The reversal of 1133221121321 is 1231211223311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 505323361321 + 627897760000 = 710861^2 + 792400^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1133221121321 - 2² = 1133221121317 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1133221181321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41525201 + ... + 41552481.

It is an arithmetic number, because the mean of its divisors is an integer number (141733004661).

Almost surely, 2^{1133221121321} is an apocalyptic number.

It is an amenable number.

1133221121321 is a deficient number, since it is larger than the sum of its proper divisors (642915967).

1133221121321 is a wasteful number, since it uses less digits than its factorization.

1133221121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49323.

The product of its digits is 432, while the sum is 23.

Adding to 1133221121321 its reverse (1231211223311), we get a palindrome (2364432344632).

The spelling of 1133221121321 in words is "one trillion, one hundred thirty-three billion, two hundred twenty-one million, one hundred twenty-one thousand, three hundred twenty-one".