13313211100031 has 2 divisors, whose sum is σ = 13313211100032. Its totient is φ = 13313211100030.

The previous prime is 13313211100009. The next prime is 13313211100039. The reversal of 13313211100031 is 13000111231331.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13313211100031 - 2²⁶ = 13313143991167 is a prime.

It is a super-2 number, since 2×13313211100031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13313211099976 and 13313211100012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13313211100039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656605550015 + 6656605550016.

It is an arithmetic number, because the mean of its divisors is an integer number (6656605550016).

Almost surely, 2^{13313211100031} is an apocalyptic number.

13313211100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313211100031 is an equidigital number, since it uses as much as digits as its factorization.

13313211100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13313211100031 its reverse (13000111231331), we get a palindrome (26313322331362).

The spelling of 13313211100031 in words is "thirteen trillion, three hundred thirteen billion, two hundred eleven million, one hundred thousand, thirty-one".