32010000001313 has 2 divisors, whose sum is σ = 32010000001314. Its totient is φ = 32010000001312.

The previous prime is 32010000001229. The next prime is 32010000001321. The reversal of 32010000001313 is 31310000001023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27740520023329 + 4269479977984 = 5266927^2 + 2066272^2 .

It is a cyclic number.

It is not a de Polignac number, because 32010000001313 - 2¹⁴ = 32009999984929 is a prime.

It is not a weakly prime, because it can be changed into another prime (32010000001373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16005000000656 + 16005000000657.

It is an arithmetic number, because the mean of its divisors is an integer number (16005000000657).

Almost surely, 2^{32010000001313} is an apocalyptic number.

It is an amenable number.

32010000001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

32010000001313 is an equidigital number, since it uses as much as digits as its factorization.

32010000001313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 32010000001313 its reverse (31310000001023), we get a palindrome (63320000002336).

The spelling of 32010000001313 in words is "thirty-two trillion, ten billion, one thousand, three hundred thirteen".