13001301310 has 64 divisors (see below), whose sum is σ = 26487264384. Its totient is φ = 4567552000.

The previous prime is 13001301289. The next prime is 13001301317. The reversal of 13001301310 is 1310310031.

It is a happy number.

13001301310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13001301310² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001301317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119760 + ... + 200860.

It is an arithmetic number, because the mean of its divisors is an integer number (413863506).

Almost surely, 2^13001301310 is an apocalyptic number.

13001301310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13001301310 is an abundant number, since it is smaller than the sum of its proper divisors (13485963074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13001301310 is a wasteful number, since it uses less digits than its factorization.

13001301310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81189.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13001301310 its reverse (1310310031), we get a palindrome (14311611341).

The spelling of 13001301310 in words is "thirteen billion, one million, three hundred one thousand, three hundred ten".