1033121221 has 16 divisors (see below), whose sum is σ = 1170597888. Its totient is φ = 903279600.

The previous prime is 1033121207. The next prime is 1033121231. The reversal of 1033121221 is 1221213301.

It is a cyclic number.

It is not a de Polignac number, because 1033121221 - 2¹⁷ = 1032990149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1033121195 and 1033121204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033121231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46290 + ... + 64876.

It is an arithmetic number, because the mean of its divisors is an integer number (73162368).

Almost surely, 2^1033121221 is an apocalyptic number.

1033121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1033121221 is a deficient number, since it is larger than the sum of its proper divisors (137476667).

1033121221 is a wasteful number, since it uses less digits than its factorization.

1033121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18792.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1033121221 is about 32142.2031136635. The cubic root of 1033121221 is about 1010.9207109311.

Adding to 1033121221 its reverse (1221213301), we get a palindrome (2254334522).

The spelling of 1033121221 in words is "one billion, thirty-three million, one hundred twenty-one thousand, two hundred twenty-one".