13131313131313 has 16 divisors (see below), whose sum is σ = 14203653408000. Its totient is φ = 12067886113920.

The previous prime is 13131313131289. The next prime is 13131313131329. The reversal of 13131313131313 is 31313131313131.

It is a happy number.

It is not a de Polignac number, because 13131313131313 - 2⁹ = 13131313130801 is a prime.

It is a super-2 number, since 2×13131313131313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

13131313131313 is an undulating number in base 10.

13131313131313 is a modest number, since divided by 13131313 gives 131313 as remainder.

It is not an unprimeable number, because it can be changed into a prime (13131313131113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13989898 + ... + 14898988.

It is an arithmetic number, because the mean of its divisors is an integer number (887728338000).

Almost surely, 2^{13131313131313} is an apocalyptic number.

13131313131313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13131313131313 is a deficient number, since it is larger than the sum of its proper divisors (1072340276687).

13131313131313 is a wasteful number, since it uses less digits than its factorization.

13131313131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913992.

The product of its digits is 2187, while the sum is 28.

Adding to 13131313131313 its reverse (31313131313131), we get a palindrome (44444444444444).

It can be divided in two parts, 1313131313131 and 3, that multiplied together give a palindrome (3939393939393).

The spelling of 13131313131313 in words is "thirteen trillion, one hundred thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred thirteen".