13310200013 has 6 divisors (see below), whose sum is σ = 14630219982. Its totient is φ = 12100181720.

The previous prime is 13310199971. The next prime is 13310200037. The reversal of 13310200013 is 31000201331.

It can be written as a sum of positive squares in only one way, i.e., 13193279044 + 116920969 = 114862^2 + 10813^2 .

It is not a de Polignac number, because 13310200013 - 2¹⁸ = 13309937869 is a prime.

It is a super-2 number, since 2×13310200013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310200063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55000706 + ... + 55000947.

It is an arithmetic number, because the mean of its divisors is an integer number (2438369997).

Almost surely, 2^13310200013 is an apocalyptic number.

It is an amenable number.

13310200013 is a deficient number, since it is larger than the sum of its proper divisors (1320019969).

13310200013 is a wasteful number, since it uses less digits than its factorization.

13310200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110001675 (or 110001664 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13310200013 its reverse (31000201331), we get a palindrome (44310401344).

The spelling of 13310200013 in words is "thirteen billion, three hundred ten million, two hundred thousand, thirteen".