13201310102033 has 8 divisors (see below), whose sum is σ = 13254035642952. Its totient is φ = 13148664754176.

The previous prime is 13201310102009. The next prime is 13201310102059. The reversal of 13201310102033 is 33020101310231.

It can be written as a sum of positive squares in 4 ways, for example, as 357637488784 + 12843672613249 = 598028^2 + 3583807^2 .

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 13201310102033 - 2¹⁰ = 13201310101009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13201310101996 and 13201310102014.

It is not an unprimeable number, because it can be changed into a prime (13201310105033) 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, 19718360 + ... + 20376857.

It is an arithmetic number, because the mean of its divisors is an integer number (1656754455369).

Almost surely, 2^{13201310102033} is an apocalyptic number.

It is an amenable number.

13201310102033 is a deficient number, since it is larger than the sum of its proper divisors (52725540919).

13201310102033 is an equidigital number, since it uses as much as digits as its factorization.

13201310102033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40096531.

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

Adding to 13201310102033 its reverse (33020101310231), we get a palindrome (46221411412264).

The spelling of 13201310102033 in words is "thirteen trillion, two hundred one billion, three hundred ten million, one hundred two thousand, thirty-three".