13231021311313 has 8 divisors (see below), whose sum is σ = 14249168778600. Its totient is φ = 12212927643648.

The previous prime is 13231021311293. The next prime is 13231021311397. The reversal of 13231021311313 is 31311312013231.

It can be written as a sum of positive squares in 4 ways, for example, as 9121778064 + 13221899533249 = 95508^2 + 3636193^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13231021311313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13231021311113) 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 7 ways as a sum of consecutive naturals, for example, 12938398 + ... + 13923511.

It is an arithmetic number, because the mean of its divisors is an integer number (1781146097325).

Almost surely, 2^{13231021311313} is an apocalyptic number.

13231021311313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13231021311313 is a deficient number, since it is larger than the sum of its proper divisors (1018147467287).

13231021311313 is a wasteful number, since it uses less digits than its factorization.

13231021311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26899811.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 13231021311313 its reverse (31311312013231), we get a palindrome (44542333324544).

The spelling of 13231021311313 in words is "thirteen trillion, two hundred thirty-one billion, twenty-one million, three hundred eleven thousand, three hundred thirteen".