1033312221 has 40 divisors (see below), whose sum is σ = 1579790520. Its totient is φ = 672841728.

The previous prime is 1033312211. The next prime is 1033312229. The reversal of 1033312221 is 1222133301.

It can be written as a sum of positive squares in 4 ways, for example, as 10208025 + 1023104196 = 3195^2 + 31986^2 .

It is not a de Polignac number, because 1033312221 - 2¹⁵ = 1033279453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1033312194 and 1033312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033312229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1343325 + ... + 1344093.

It is an arithmetic number, because the mean of its divisors is an integer number (39494763).

Almost surely, 2^1033312221 is an apocalyptic number.

It is an amenable number.

1033312221 is a deficient number, since it is larger than the sum of its proper divisors (546478299).

1033312221 is an equidigital number, since it uses as much as digits as its factorization.

1033312221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1033312221 is about 32145.1741479184. The cubic root of 1033312221 is about 1010.9830056402.

Adding to 1033312221 its reverse (1222133301), we get a palindrome (2255445522).

The spelling of 1033312221 in words is "one billion, thirty-three million, three hundred twelve thousand, two hundred twenty-one".