1133212121 has 2 divisors, whose sum is σ = 1133212122. Its totient is φ = 1133212120.

The previous prime is 1133212111. The next prime is 1133212123. The reversal of 1133212121 is 1212123311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1016334400 + 116877721 = 31880^2 + 10811^2 .

It is a cyclic number.

It is not a de Polignac number, because 1133212121 - 2¹⁸ = 1132949977 is a prime.

It is a super-3 number, since 3×1133212121³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

Together with 1133212123, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1133212121.

It is not a weakly prime, because it can be changed into another prime (1133212123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 566606060 + 566606061.

It is an arithmetic number, because the mean of its divisors is an integer number (566606061).

Almost surely, 2^1133212121 is an apocalyptic number.

It is an amenable number.

1133212121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133212121 is an equidigital number, since it uses as much as digits as its factorization.

1133212121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72, while the sum is 17.

The square root of 1133212121 is about 33663.2161416582. The cubic root of 1133212121 is about 1042.5664305997.

Adding to 1133212121 its reverse (1212123311), we get a palindrome (2345335432).

The spelling of 1133212121 in words is "one billion, one hundred thirty-three million, two hundred twelve thousand, one hundred twenty-one".