1333133121221 has 24 divisors (see below), whose sum is σ = 1506666533400. Its totient is φ = 1177983065600.

The previous prime is 1333133121211. The next prime is 1333133121253. The reversal of 1333133121221 is 1221213313331.

It can be written as a sum of positive squares in 4 ways, for example, as 327826098721 + 1005307022500 = 572561^2 + 1002650^2 .

It is not a de Polignac number, because 1333133121221 - 2²² = 1333128926917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333133121211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835025 + ... + 1833993.

It is an arithmetic number, because the mean of its divisors is an integer number (62777772225).

Almost surely, 2^{1333133121221} is an apocalyptic number.

1333133121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1333133121221 is a deficient number, since it is larger than the sum of its proper divisors (173533412179).

1333133121221 is a wasteful number, since it uses less digits than its factorization.

1333133121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999301 (or 999290 counting only the distinct ones).

The product of its digits is 1944, while the sum is 26.

Adding to 1333133121221 its reverse (1221213313331), we get a palindrome (2554346434552).

The spelling of 1333133121221 in words is "one trillion, three hundred thirty-three billion, one hundred thirty-three million, one hundred twenty-one thousand, two hundred twenty-one".