32001011221013 has 2 divisors, whose sum is σ = 32001011221014. Its totient is φ = 32001011221012.

The previous prime is 32001011220967. The next prime is 32001011221021. The reversal of 32001011221013 is 31012211010023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27169134609604 + 4831876611409 = 5212402^2 + 2198153^2 .

It is a cyclic number.

It is not a de Polignac number, because 32001011221013 - 2²⁶ = 32000944112149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32001011220982 and 32001011221000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32001011821013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16000505610506 + 16000505610507.

It is an arithmetic number, because the mean of its divisors is an integer number (16000505610507).

Almost surely, 2^{32001011221013} is an apocalyptic number.

It is an amenable number.

32001011221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

32001011221013 is an equidigital number, since it uses as much as digits as its factorization.

32001011221013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 32001011221013 its reverse (31012211010023), we get a palindrome (63013222231036).

The spelling of 32001011221013 in words is "thirty-two trillion, one billion, eleven million, two hundred twenty-one thousand, thirteen".