1013133221 has 8 divisors (see below), whose sum is σ = 1021981080. Its totient is φ = 1004306688.

The previous prime is 1013133203. The next prime is 1013133239. The reversal of 1013133221 is 1223313101.

It is an interprime number because it is at equal distance from previous prime (1013133203) and next prime (1013133239).

It can be written as a sum of positive squares in 4 ways, for example, as 165508225 + 847624996 = 12865^2 + 29114^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1013133221 - 2¹⁴ = 1013116837 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1013133221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013133271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98825 + ... + 108593.

It is an arithmetic number, because the mean of its divisors is an integer number (127747635).

Almost surely, 2^1013133221 is an apocalyptic number.

It is an amenable number.

1013133221 is a deficient number, since it is larger than the sum of its proper divisors (8847859).

1013133221 is an equidigital number, since it uses as much as digits as its factorization.

1013133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10663.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1013133221 is about 31829.7537062416. The cubic root of 1013133221 is about 1004.3587143398.

Adding to 1013133221 its reverse (1223313101), we get a palindrome (2236446322).

The spelling of 1013133221 in words is "one billion, thirteen million, one hundred thirty-three thousand, two hundred twenty-one".