1033220131121 has 2 divisors, whose sum is σ = 1033220131122. Its totient is φ = 1033220131120.

The previous prime is 1033220131103. The next prime is 1033220131201. The reversal of 1033220131121 is 1211310223301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 726790350400 + 306429780721 = 852520^2 + 553561^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033220131121 - 2¹⁴ = 1033220114737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1033220131093 and 1033220131102.

It is not a weakly prime, because it can be changed into another prime (1033220131921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516610065560 + 516610065561.

It is an arithmetic number, because the mean of its divisors is an integer number (516610065561).

Almost surely, 2^{1033220131121} is an apocalyptic number.

It is an amenable number.

1033220131121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033220131121 is an equidigital number, since it uses as much as digits as its factorization.

1033220131121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1033220131121 its reverse (1211310223301), we get a palindrome (2244530354422).

The spelling of 1033220131121 in words is "one trillion, thirty-three billion, two hundred twenty million, one hundred thirty-one thousand, one hundred twenty-one".