13132546213337 has 2 divisors, whose sum is σ = 13132546213338. Its totient is φ = 13132546213336.

The previous prime is 13132546213291. The next prime is 13132546213357. The reversal of 13132546213337 is 73331264523131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13102488709696 + 30057503641 = 3619736^2 + 173371^2 .

It is a cyclic number.

It is not a de Polignac number, because 13132546213337 - 2⁶ = 13132546213273 is a prime.

It is a super-3 number, since 3×13132546213337³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (13132546213357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566273106668 + 6566273106669.

It is an arithmetic number, because the mean of its divisors is an integer number (6566273106669).

Almost surely, 2^{13132546213337} is an apocalyptic number.

It is an amenable number.

13132546213337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13132546213337 is an equidigital number, since it uses as much as digits as its factorization.

13132546213337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 816480, while the sum is 44.

The spelling of 13132546213337 in words is "thirteen trillion, one hundred thirty-two billion, five hundred forty-six million, two hundred thirteen thousand, three hundred thirty-seven".