32133003313 has 8 divisors (see below), whose sum is σ = 34139445480. Its totient is φ = 30186455040.

The previous prime is 32133003289. The next prime is 32133003337. The reversal of 32133003313 is 31330033123.

It is an interprime number because it is at equal distance from previous prime (32133003289) and next prime (32133003337).

It can be written as a sum of positive squares in 4 ways, for example, as 21960868864 + 10172134449 = 148192^2 + 100857^2 .

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 32133003313 - 2⁹ = 32133002801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32133003113) 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, 14972368 + ... + 14974513.

It is an arithmetic number, because the mean of its divisors is an integer number (4267430685).

Almost surely, 2^32133003313 is an apocalyptic number.

It is an amenable number.

32133003313 is a deficient number, since it is larger than the sum of its proper divisors (2006442167).

32133003313 is a wasteful number, since it uses less digits than its factorization.

32133003313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29946947.

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 32133003313 its reverse (31330033123), we get a palindrome (63463036436).

The spelling of 32133003313 in words is "thirty-two billion, one hundred thirty-three million, three thousand, three hundred thirteen".