1033213312121 has 2 divisors, whose sum is σ = 1033213312122. Its totient is φ = 1033213312120.

The previous prime is 1033213312069. The next prime is 1033213312127. The reversal of 1033213312121 is 1212133123301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 819712944400 + 213500367721 = 905380^2 + 462061^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1033213312121 is a prime.

It is not a weakly prime, because it can be changed into another prime (1033213312127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516606656060 + 516606656061.

It is an arithmetic number, because the mean of its divisors is an integer number (516606656061).

Almost surely, 2^{1033213312121} is an apocalyptic number.

It is an amenable number.

1033213312121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033213312121 is an equidigital number, since it uses as much as digits as its factorization.

1033213312121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1033213312121 its reverse (1212133123301), we get a palindrome (2245346435422).

The spelling of 1033213312121 in words is "one trillion, thirty-three billion, two hundred thirteen million, three hundred twelve thousand, one hundred twenty-one".