31232032013201 has 2 divisors, whose sum is σ = 31232032013202. Its totient is φ = 31232032013200.

The previous prime is 31232032013179. The next prime is 31232032013209. The reversal of 31232032013201 is 10231023023213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31201429758976 + 30602254225 = 5585824^2 + 174935^2 .

It is a cyclic number.

It is not a de Polignac number, because 31232032013201 - 2¹⁴ = 31232031996817 is a prime.

It is a super-2 number, since 2×31232032013201² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31232032013209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15616016006600 + 15616016006601.

It is an arithmetic number, because the mean of its divisors is an integer number (15616016006601).

Almost surely, 2^{31232032013201} is an apocalyptic number.

It is an amenable number.

31232032013201 is a deficient number, since it is larger than the sum of its proper divisors (1).

31232032013201 is an equidigital number, since it uses as much as digits as its factorization.

31232032013201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 31232032013201 its reverse (10231023023213), we get a palindrome (41463055036414).

The spelling of 31232032013201 in words is "thirty-one trillion, two hundred thirty-two billion, thirty-two million, thirteen thousand, two hundred one".