1033013031221 has 2 divisors, whose sum is σ = 1033013031222. Its totient is φ = 1033013031220.

The previous prime is 1033013031163. The next prime is 1033013031241. The reversal of 1033013031221 is 1221303103301.

It is an a-pointer prime, because the next prime (1033013031241) can be obtained adding 1033013031221 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 648203722321 + 384809308900 = 805111^2 + 620330^2 .

It is an emirp because it is prime and its reverse (1221303103301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1033013031221 - 2¹⁰ = 1033013030197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1033013031193 and 1033013031202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033013031241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516506515610 + 516506515611.

It is an arithmetic number, because the mean of its divisors is an integer number (516506515611).

Almost surely, 2^{1033013031221} is an apocalyptic number.

It is an amenable number.

1033013031221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033013031221 is an equidigital number, since it uses as much as digits as its factorization.

1033013031221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1033013031221 its reverse (1221303103301), we get a palindrome (2254316134522).

The spelling of 1033013031221 in words is "one trillion, thirty-three billion, thirteen million, thirty-one thousand, two hundred twenty-one".