31120032132001 has 2 divisors, whose sum is σ = 31120032132002. Its totient is φ = 31120032132000.

The previous prime is 31120032131999. The next prime is 31120032132031. The reversal of 31120032132001 is 10023123002113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31027116899601 + 92915232400 = 5570199^2 + 304820^2 .

It is a cyclic number.

It is not a de Polignac number, because 31120032132001 - 2¹ = 31120032131999 is a prime.

Together with 31120032131999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 31120032132001.

It is not a weakly prime, because it can be changed into another prime (31120032132031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15560016066000 + 15560016066001.

It is an arithmetic number, because the mean of its divisors is an integer number (15560016066001).

Almost surely, 2^{31120032132001} is an apocalyptic number.

It is an amenable number.

31120032132001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31120032132001 is an equidigital number, since it uses as much as digits as its factorization.

31120032132001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31120032132001 its reverse (10023123002113), we get a palindrome (41143155134114).

The spelling of 31120032132001 in words is "thirty-one trillion, one hundred twenty billion, thirty-two million, one hundred thirty-two thousand, one".