31322000131001 has 2 divisors, whose sum is σ = 31322000131002. Its totient is φ = 31322000131000.

The previous prime is 31322000130983. The next prime is 31322000131013. The reversal of 31322000131001 is 10013100022313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21498013194025 + 9823986936976 = 4636595^2 + 3134324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31322000131001 is a prime.

It is a super-2 number, since 2×31322000131001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31322000131901) 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, 15661000065500 + 15661000065501.

It is an arithmetic number, because the mean of its divisors is an integer number (15661000065501).

Almost surely, 2^{31322000131001} is an apocalyptic number.

It is an amenable number.

31322000131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31322000131001 is an equidigital number, since it uses as much as digits as its factorization.

31322000131001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 31322000131001 its reverse (10013100022313), we get a palindrome (41335100153314).

The spelling of 31322000131001 in words is "thirty-one trillion, three hundred twenty-two billion, one hundred thirty-one thousand, one".