1322131122101 has 2 divisors, whose sum is σ = 1322131122102. Its totient is φ = 1322131122100.

The previous prime is 1322131122097. The next prime is 1322131122119. The reversal of 1322131122101 is 1012211312231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1215054267025 + 107076855076 = 1102295^2 + 327226^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322131122101 - 2² = 1322131122097 is a prime.

It is a super-3 number, since 3×1322131122101³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1322131122001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661065561050 + 661065561051.

It is an arithmetic number, because the mean of its divisors is an integer number (661065561051).

Almost surely, 2^{1322131122101} is an apocalyptic number.

It is an amenable number.

1322131122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322131122101 is an equidigital number, since it uses as much as digits as its factorization.

1322131122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1322131122101 its reverse (1012211312231), we get a palindrome (2334342434332).

The spelling of 1322131122101 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred one".