13102323313313 has 16 divisors (see below), whose sum is σ = 14376791172240. Its totient is φ = 11865952360704.

The previous prime is 13102323313271. The next prime is 13102323313327. The reversal of 13102323313313 is 31331332320131.

It can be written as a sum of positive squares in 8 ways, for example, as 171481294609 + 12930842018704 = 414103^2 + 3595948^2 .

It is not a de Polignac number, because 13102323313313 - 2²⁶ = 13102256204449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13102323315313) 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, 29414903 + ... + 29857011.

It is an arithmetic number, because the mean of its divisors is an integer number (898549448265).

Almost surely, 2^{13102323313313} is an apocalyptic number.

13102323313313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13102323313313 is a deficient number, since it is larger than the sum of its proper divisors (1274467858927).

13102323313313 is a wasteful number, since it uses less digits than its factorization.

13102323313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485188.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 13102323313313 its reverse (31331332320131), we get a palindrome (44433655633444).

The spelling of 13102323313313 in words is "thirteen trillion, one hundred two billion, three hundred twenty-three million, three hundred thirteen thousand, three hundred thirteen".