121131021052033 has 2 divisors, whose sum is σ = 121131021052034. Its totient is φ = 121131021052032.

The previous prime is 121131021052009. The next prime is 121131021052147. The reversal of 121131021052033 is 330250120131121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108629089910784 + 12501931141249 = 10422528^2 + 3535807^2 .

It is a cyclic number.

It is not a de Polignac number, because 121131021052033 - 2²⁹ = 121130484181121 is a prime.

It is a super-2 number, since 2×121131021052033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121131021051989 and 121131021052007.

It is not a weakly prime, because it can be changed into another prime (121131021052003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60565510526016 + 60565510526017.

It is an arithmetic number, because the mean of its divisors is an integer number (60565510526017).

Almost surely, 2^{121131021052033} is an apocalyptic number.

It is an amenable number.

121131021052033 is a deficient number, since it is larger than the sum of its proper divisors (1).

121131021052033 is an equidigital number, since it uses as much as digits as its factorization.

121131021052033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 121131021052033 its reverse (330250120131121), we get a palindrome (451381141183154).

The spelling of 121131021052033 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, twenty-one million, fifty-two thousand, thirty-three".