13131311210033 has 2 divisors, whose sum is σ = 13131311210034. Its totient is φ = 13131311210032.

The previous prime is 13131311209943. The next prime is 13131311210063. The reversal of 13131311210033 is 33001211313131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11456789804944 + 1674521405089 = 3384788^2 + 1294033^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131311210033 - 2¹⁸ = 13131310947889 is a prime.

It is a super-2 number, since 2×13131311210033² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13131311209990 and 13131311210008.

It is not a weakly prime, because it can be changed into another prime (13131311210063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565655605016 + 6565655605017.

It is an arithmetic number, because the mean of its divisors is an integer number (6565655605017).

Almost surely, 2^{13131311210033} is an apocalyptic number.

It is an amenable number.

13131311210033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131311210033 is an equidigital number, since it uses as much as digits as its factorization.

13131311210033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 13131311210033 its reverse (33001211313131), we get a palindrome (46132522523164).

The spelling of 13131311210033 in words is "thirteen trillion, one hundred thirty-one billion, three hundred eleven million, two hundred ten thousand, thirty-three".