31323312033001 has 2 divisors, whose sum is σ = 31323312033002. Its totient is φ = 31323312033000.

The previous prime is 31323312032981. The next prime is 31323312033019. The reversal of 31323312033001 is 10033021332313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28892990048400 + 2430321984601 = 5375220^2 + 1558949^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31323312033001 is a prime.

It is a super-2 number, since 2×31323312033001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31323312033061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15661656016500 + 15661656016501.

It is an arithmetic number, because the mean of its divisors is an integer number (15661656016501).

Almost surely, 2^{31323312033001} is an apocalyptic number.

It is an amenable number.

31323312033001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31323312033001 is an equidigital number, since it uses as much as digits as its factorization.

31323312033001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 31323312033001 its reverse (10033021332313), we get a palindrome (41356333365314).

The spelling of 31323312033001 in words is "thirty-one trillion, three hundred twenty-three billion, three hundred twelve million, thirty-three thousand, one".