13131431122441 has 2 divisors, whose sum is σ = 13131431122442. Its totient is φ = 13131431122440.

The previous prime is 13131431122391. The next prime is 13131431122483. The reversal of 13131431122441 is 14422113413131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9116196644416 + 4015234478025 = 3019304^2 + 2003805^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131431122441 - 2²¹ = 13131429025289 is a prime.

It is a super-2 number, since 2×13131431122441² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13131431122241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565715561220 + 6565715561221.

It is an arithmetic number, because the mean of its divisors is an integer number (6565715561221).

Almost surely, 2^{13131431122441} is an apocalyptic number.

It is an amenable number.

13131431122441 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131431122441 is an equidigital number, since it uses as much as digits as its factorization.

13131431122441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 31.

Adding to 13131431122441 its reverse (14422113413131), we get a palindrome (27553544535572).

The spelling of 13131431122441 in words is "thirteen trillion, one hundred thirty-one billion, four hundred thirty-one million, one hundred twenty-two thousand, four hundred forty-one".