2013132321 has 12 divisors (see below), whose sum is σ = 2908309248. Its totient is φ = 1341879864.

The previous prime is 2013132313. The next prime is 2013132323. The reversal of 2013132321 is 1232313102.

It is not a de Polignac number, because 2013132321 - 2³ = 2013132313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2013132294 and 2013132303.

It is not an unprimeable number, because it can be changed into a prime (2013132323) 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, 63796 + ... + 89978.

It is an arithmetic number, because the mean of its divisors is an integer number (242359104).

Almost surely, 2^2013132321 is an apocalyptic number.

It is an amenable number.

2013132321 is a deficient number, since it is larger than the sum of its proper divisors (895176927).

2013132321 is a wasteful number, since it uses less digits than its factorization.

2013132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34732 (or 34729 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2013132321 is about 44867.9431331547. The cubic root of 2013132321 is about 1262.6726507798.

Adding to 2013132321 its reverse (1232313102), we get a palindrome (3245445423).

The spelling of 2013132321 in words is "two billion, thirteen million, one hundred thirty-two thousand, three hundred twenty-one".