32013121313 has 2 divisors, whose sum is σ = 32013121314. Its totient is φ = 32013121312.

The previous prime is 32013121307. The next prime is 32013121333. The reversal of 32013121313 is 31312131023.

It is an a-pointer prime, because the next prime (32013121333) can be obtained adding 32013121313 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30273564049 + 1739557264 = 173993^2 + 41708^2 .

It is a cyclic number.

It is not a de Polignac number, because 32013121313 - 2⁶ = 32013121249 is a prime.

It is not a weakly prime, because it can be changed into another prime (32013121333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16006560656 + 16006560657.

It is an arithmetic number, because the mean of its divisors is an integer number (16006560657).

Almost surely, 2^32013121313 is an apocalyptic number.

It is an amenable number.

32013121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

32013121313 is an equidigital number, since it uses as much as digits as its factorization.

32013121313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 32013121313 its reverse (31312131023), we get a palindrome (63325252336).

The spelling of 32013121313 in words is "thirty-two billion, thirteen million, one hundred twenty-one thousand, three hundred thirteen".