13121132032033 has 2 divisors, whose sum is σ = 13121132032034. Its totient is φ = 13121132032032.

The previous prime is 13121132032013. The next prime is 13121132032067. The reversal of 13121132032033 is 33023023112131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10040710389264 + 3080421642769 = 3168708^2 + 1755113^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121132032033 - 2²⁵ = 13121098477601 is a prime.

It is a super-2 number, since 2×13121132032033² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13121132031989 and 13121132032007.

It is not a weakly prime, because it can be changed into another prime (13121132032013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560566016016 + 6560566016017.

It is an arithmetic number, because the mean of its divisors is an integer number (6560566016017).

Almost surely, 2^{13121132032033} is an apocalyptic number.

It is an amenable number.

13121132032033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121132032033 is an equidigital number, since it uses as much as digits as its factorization.

13121132032033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13121132032033 its reverse (33023023112131), we get a palindrome (46144155144164).

The spelling of 13121132032033 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty-two million, thirty-two thousand, thirty-three".