13331413220137 has 2 divisors, whose sum is σ = 13331413220138. Its totient is φ = 13331413220136.

The previous prime is 13331413220093. The next prime is 13331413220143. The reversal of 13331413220137 is 73102231413331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8288779192576 + 5042634027561 = 2879024^2 + 2245581^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331413220137 - 2¹¹ = 13331413218089 is a prime.

It is a super-3 number, since 3×13331413220137³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13331413220197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665706610068 + 6665706610069.

It is an arithmetic number, because the mean of its divisors is an integer number (6665706610069).

Almost surely, 2^{13331413220137} is an apocalyptic number.

It is an amenable number.

13331413220137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331413220137 is an equidigital number, since it uses as much as digits as its factorization.

13331413220137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 34.

Adding to 13331413220137 its reverse (73102231413331), we get a palindrome (86433644633468).

The spelling of 13331413220137 in words is "thirteen trillion, three hundred thirty-one billion, four hundred thirteen million, two hundred twenty thousand, one hundred thirty-seven".