13131002300321 has 8 divisors (see below), whose sum is σ = 13278799505160. Its totient is φ = 12983210825728.

The previous prime is 13131002300309. The next prime is 13131002300347. The reversal of 13131002300321 is 12300320013131.

It can be written as a sum of positive squares in 4 ways, for example, as 7668330180625 + 5462672119696 = 2769175^2 + 2337236^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13131002300321 - 2³⁴ = 13113822431137 is a prime.

It is a super-2 number, since 2×13131002300321² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13131002300293 and 13131002300302.

It is not an unprimeable number, because it can be changed into a prime (13131002306321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3262385 + ... + 6074961.

It is an arithmetic number, because the mean of its divisors is an integer number (1659849938145).

Almost surely, 2^{13131002300321} is an apocalyptic number.

It is an amenable number.

13131002300321 is a deficient number, since it is larger than the sum of its proper divisors (147797204839).

13131002300321 is an equidigital number, since it uses as much as digits as its factorization.

13131002300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865123.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13131002300321 its reverse (12300320013131), we get a palindrome (25431322313452).

The spelling of 13131002300321 in words is "thirteen trillion, one hundred thirty-one billion, two million, three hundred thousand, three hundred twenty-one".