13101322213233 has 12 divisors (see below), whose sum is σ = 18924934500420. Its totient is φ = 8733844463616.

The previous prime is 13101322213153. The next prime is 13101322213271. The reversal of 13101322213233 is 33231222310131.

13101322213233 is a `hidden beast` number, since 1 + 3 + 10 + 1 + 322 + 2 + 1 + 323 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 397066337424 + 12704255875809 = 630132^2 + 3564303^2 .

It is not a de Polignac number, because 13101322213233 - 2¹² = 13101322209137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13101322213197 and 13101322213206.

It is not an unprimeable number, because it can be changed into a prime (13101322263233) 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 11 ways as a sum of consecutive naturals, for example, 30637968 + ... + 31062641.

It is an arithmetic number, because the mean of its divisors is an integer number (1577077875035).

Almost surely, 2^{13101322213233} is an apocalyptic number.

It is an amenable number.

13101322213233 is a deficient number, since it is larger than the sum of its proper divisors (5823612287187).

13101322213233 is a wasteful number, since it uses less digits than its factorization.

13101322213233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61724208 (or 61724205 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13101322213233 its reverse (33231222310131), we get a palindrome (46332544523364).

The spelling of 13101322213233 in words is "thirteen trillion, one hundred one billion, three hundred twenty-two million, two hundred thirteen thousand, two hundred thirty-three".