31122110023001 has 2 divisors, whose sum is σ = 31122110023002. Its totient is φ = 31122110023000.

The previous prime is 31122110022989. The next prime is 31122110023003. The reversal of 31122110023001 is 10032001122113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30467629023001 + 654481000000 = 5519749^2 + 809000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31122110023001 is a prime.

Together with 31122110023003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31122110023003) 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, 15561055011500 + 15561055011501.

It is an arithmetic number, because the mean of its divisors is an integer number (15561055011501).

Almost surely, 2^{31122110023001} is an apocalyptic number.

It is an amenable number.

31122110023001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31122110023001 is an equidigital number, since it uses as much as digits as its factorization.

31122110023001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 31122110023001 its reverse (10032001122113), we get a palindrome (41154111145114).

The spelling of 31122110023001 in words is "thirty-one trillion, one hundred twenty-two billion, one hundred ten million, twenty-three thousand, one".