31132200223121 has 2 divisors, whose sum is σ = 31132200223122. Its totient is φ = 31132200223120.

The previous prime is 31132200223097. The next prime is 31132200223127. The reversal of 31132200223121 is 12132200223113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31037868314896 + 94331908225 = 5571164^2 + 307135^2 .

It is an emirp because it is prime and its reverse (12132200223113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31132200223121 - 2³⁰ = 31131126481297 is a prime.

It is not a weakly prime, because it can be changed into another prime (31132200223127) 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 as a sum of consecutive naturals, namely, 15566100111560 + 15566100111561.

It is an arithmetic number, because the mean of its divisors is an integer number (15566100111561).

Almost surely, 2^{31132200223121} is an apocalyptic number.

It is an amenable number.

31132200223121 is a deficient number, since it is larger than the sum of its proper divisors (1).

31132200223121 is an equidigital number, since it uses as much as digits as its factorization.

31132200223121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 31132200223121 its reverse (12132200223113), we get a palindrome (43264400446234).

The spelling of 31132200223121 in words is "thirty-one trillion, one hundred thirty-two billion, two hundred million, two hundred twenty-three thousand, one hundred twenty-one".