31032320201001 has 192 divisors, whose sum is σ = 57677861928960. Its totient is φ = 15667115904000.

The previous prime is 31032320200967. The next prime is 31032320201009. The reversal of 31032320201001 is 10010202323013.

31032320201001 is a `hidden beast` number, since 310 + 3 + 2 + 320 + 20 + 10 + 0 + 1 = 666.

It is not a de Polignac number, because 31032320201001 - 2⁹ = 31032320200489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31032320201009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1965182416 + ... + 1965198206.

It is an arithmetic number, because the mean of its divisors is an integer number (300405530880).

Almost surely, 2^{31032320201001} is an apocalyptic number.

It is an amenable number.

31032320201001 is a deficient number, since it is larger than the sum of its proper divisors (26645541727959).

31032320201001 is a wasteful number, since it uses less digits than its factorization.

31032320201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17628 (or 17625 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31032320201001 its reverse (10010202323013), we get a palindrome (41042522524014).

The spelling of 31032320201001 in words is "thirty-one trillion, thirty-two billion, three hundred twenty million, two hundred one thousand, one".