13101132313033 has 16 divisors (see below), whose sum is σ = 13807281945744. Its totient is φ = 12414590115840.

The previous prime is 13101132313019. The next prime is 13101132313037. The reversal of 13101132313033 is 33031323110131.

It can be written as a sum of positive squares in 8 ways, for example, as 7467033744 + 13093665279289 = 86412^2 + 3618517^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13101132313033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13101132312989 and 13101132313007.

It is not an unprimeable number, because it can be changed into a prime (13101132313037) 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 15 ways as a sum of consecutive naturals, for example, 6608410 + ... + 8359027.

It is an arithmetic number, because the mean of its divisors is an integer number (862955121609).

Almost surely, 2^{13101132313033} is an apocalyptic number.

It is an amenable number.

13101132313033 is a deficient number, since it is larger than the sum of its proper divisors (706149632711).

13101132313033 is a wasteful number, since it uses less digits than its factorization.

13101132313033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14968092.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13101132313033 its reverse (33031323110131), we get a palindrome (46132455423164).

The spelling of 13101132313033 in words is "thirteen trillion, one hundred one billion, one hundred thirty-two million, three hundred thirteen thousand, thirty-three".