1005133213 has 8 divisors (see below), whose sum is σ = 1175438528. Its totient is φ = 841506624.

The previous prime is 1005133187. The next prime is 1005133219. The reversal of 1005133213 is 3123315001.

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

It is a de Polignac number, because none of the positive numbers 2^k-1005133213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005133219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1669356 + ... + 1669957.

It is an arithmetic number, because the mean of its divisors is an integer number (146929816).

Almost surely, 2^1005133213 is an apocalyptic number.

It is an amenable number.

1005133213 is a deficient number, since it is larger than the sum of its proper divisors (170305315).

1005133213 is an equidigital number, since it uses as much as digits as its factorization.

1005133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339363.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 1005133213 is about 31703.8359351041. The cubic root of 1005133213 is about 1001.7081515569.

Adding to 1005133213 its reverse (3123315001), we get a palindrome (4128448214).

It can be divided in two parts, 10051 and 33213, that added together give a square (43264 = 208²).

The spelling of 1005133213 in words is "one billion, five million, one hundred thirty-three thousand, two hundred thirteen".