320120332131001 has 2 divisors, whose sum is σ = 320120332131002. Its totient is φ = 320120332131000.

The previous prime is 320120332130999. The next prime is 320120332131031. The reversal of 320120332131001 is 100131233021023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 292375630010025 + 27744702120976 = 17098995^2 + 5267324^2 .

It is a cyclic number.

It is not a de Polignac number, because 320120332131001 - 2¹ = 320120332130999 is a prime.

Together with 320120332130999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (320120332131031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160060166065500 + 160060166065501.

It is an arithmetic number, because the mean of its divisors is an integer number (160060166065501).

Almost surely, 2^{320120332131001} is an apocalyptic number.

It is an amenable number.

320120332131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

320120332131001 is an equidigital number, since it uses as much as digits as its factorization.

320120332131001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 320120332131001 its reverse (100131233021023), we get a palindrome (420251565152024).

The spelling of 320120332131001 in words is "three hundred twenty trillion, one hundred twenty billion, three hundred thirty-two million, one hundred thirty-one thousand, one".