13133123322331 has 2 divisors, whose sum is σ = 13133123322332. Its totient is φ = 13133123322330.

The previous prime is 13133123322329. The next prime is 13133123322379. The reversal of 13133123322331 is 13322332133131.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13133123322331 - 2¹ = 13133123322329 is a prime.

It is a super-2 number, since 2×13133123322331² (a number of 27 digits) contains 22 as substring.

Together with 13133123322329, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13133123322293 and 13133123322302.

It is not a weakly prime, because it can be changed into another prime (13133123322301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566561661165 + 6566561661166.

It is an arithmetic number, because the mean of its divisors is an integer number (6566561661166).

Almost surely, 2^{13133123322331} is an apocalyptic number.

13133123322331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133123322331 is an equidigital number, since it uses as much as digits as its factorization.

13133123322331 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17496, while the sum is 31.

Adding to 13133123322331 its reverse (13322332133131), we get a palindrome (26455455455462).

The spelling of 13133123322331 in words is "thirteen trillion, one hundred thirty-three billion, one hundred twenty-three million, three hundred twenty-two thousand, three hundred thirty-one".