1033000213 has 12 divisors (see below), whose sum is σ = 1243091340. Its totient is φ = 854895552.

The previous prime is 1033000187. The next prime is 1033000217. The reversal of 1033000213 is 3120003301.

1033000213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 526840209 + 506160004 = 22953^2 + 22498^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1033000213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1033000193 and 1033000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033000217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362056 + ... + 364897.

It is an arithmetic number, because the mean of its divisors is an integer number (103590945).

Almost surely, 2^1033000213 is an apocalyptic number.

It is an amenable number.

1033000213 is a deficient number, since it is larger than the sum of its proper divisors (210091127).

1033000213 is an equidigital number, since it uses as much as digits as its factorization.

1033000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726996 (or 726989 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1033000213 is about 32140.3206735714. The cubic root of 1033000213 is about 1010.8812401612.

Adding to 1033000213 its reverse (3120003301), we get a palindrome (4153003514).

The spelling of 1033000213 in words is "one billion, thirty-three million, two hundred thirteen", and thus it is an aban number.