20320013313 has 24 divisors (see below), whose sum is σ = 30180165288. Its totient is φ = 13164913152.

The previous prime is 20320013303. The next prime is 20320013359. The reversal of 20320013313 is 31331002302.

20320013313 is a `hidden beast` number, since 20 + 320 + 0 + 13 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1695133584 + 18624879729 = 41172^2 + 136473^2 .

It is not a de Polignac number, because 20320013313 - 2¹⁸ = 20319751169 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20320013303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248281 + ... + 319817.

It is an arithmetic number, because the mean of its divisors is an integer number (1257506887).

Almost surely, 2^20320013313 is an apocalyptic number.

It is an amenable number.

20320013313 is a deficient number, since it is larger than the sum of its proper divisors (9860151975).

20320013313 is a wasteful number, since it uses less digits than its factorization.

20320013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72433 (or 72430 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20320013313 its reverse (31331002302), we get a palindrome (51651015615).

The spelling of 20320013313 in words is "twenty billion, three hundred twenty million, thirteen thousand, three hundred thirteen".