32145020133313 has 2 divisors, whose sum is σ = 32145020133314. Its totient is φ = 32145020133312.

The previous prime is 32145020133257. The next prime is 32145020133353. The reversal of 32145020133313 is 31333102054123.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24868902318129 + 7276117815184 = 4986873^2 + 2697428^2 .

It is a cyclic number.

It is not a de Polignac number, because 32145020133313 - 2¹³ = 32145020125121 is a prime.

It is not a weakly prime, because it can be changed into another prime (32145020133353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16072510066656 + 16072510066657.

It is an arithmetic number, because the mean of its divisors is an integer number (16072510066657).

Almost surely, 2^{32145020133313} is an apocalyptic number.

It is an amenable number.

32145020133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

32145020133313 is an equidigital number, since it uses as much as digits as its factorization.

32145020133313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 32145020133313 its reverse (31333102054123), we get a palindrome (63478122187436).

The spelling of 32145020133313 in words is "thirty-two trillion, one hundred forty-five billion, twenty million, one hundred thirty-three thousand, three hundred thirteen".