332001313 has 24 divisors (see below), whose sum is σ = 418940424. Its totient is φ = 261273600.

The previous prime is 332001301. The next prime is 332001317. The reversal of 332001313 is 313100233.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 330985249 = 1008^2 + 18193^2 .

It is not a de Polignac number, because 332001313 - 2¹⁷ = 331870241 is a prime.

It is a super-2 number, since 2×332001313² = 220449743667447938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332001317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29293 + ... + 39013.

It is an arithmetic number, because the mean of its divisors is an integer number (17455851).

Almost surely, 2^332001313 is an apocalyptic number.

It is an amenable number.

332001313 is a deficient number, since it is larger than the sum of its proper divisors (86939111).

332001313 is a wasteful number, since it uses less digits than its factorization.

332001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9793 (or 9786 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 332001313 is about 18220.9031883713. The cubic root of 332001313 is about 692.4364700807.

Adding to 332001313 its reverse (313100233), we get a palindrome (645101546).

The spelling of 332001313 in words is "three hundred thirty-two million, one thousand, three hundred thirteen".