1133131123121 has 2 divisors, whose sum is σ = 1133131123122. Its totient is φ = 1133131123120.

The previous prime is 1133131123109. The next prime is 1133131123123. The reversal of 1133131123121 is 1213211313311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 598594668721 + 534536454400 = 773689^2 + 731120^2 .

It is an emirp because it is prime and its reverse (1213211313311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1133131123121 - 2¹⁸ = 1133130860977 is a prime.

It is a super-2 number, since 2×1133131123121² (a number of 25 digits) contains 22 as substring.

Together with 1133131123123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1133131123123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 566565561560 + 566565561561.

It is an arithmetic number, because the mean of its divisors is an integer number (566565561561).

Almost surely, 2^{1133131123121} is an apocalyptic number.

It is an amenable number.

1133131123121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133131123121 is an equidigital number, since it uses as much as digits as its factorization.

1133131123121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 23.

Adding to 1133131123121 its reverse (1213211313311), we get a palindrome (2346342436432).

The spelling of 1133131123121 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-one million, one hundred twenty-three thousand, one hundred twenty-one".