1322331032101 has 2 divisors, whose sum is σ = 1322331032102. Its totient is φ = 1322331032100.

The previous prime is 1322331032027. The next prime is 1322331032119. The reversal of 1322331032101 is 1012301332231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1253358616225 + 68972415876 = 1119535^2 + 262626^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322331032101 - 2¹⁵ = 1322330999333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1322331035101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661165516050 + 661165516051.

It is an arithmetic number, because the mean of its divisors is an integer number (661165516051).

Almost surely, 2^{1322331032101} is an apocalyptic number.

It is an amenable number.

1322331032101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322331032101 is an equidigital number, since it uses as much as digits as its factorization.

1322331032101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1322331032101 its reverse (1012301332231), we get a palindrome (2334632364332).

The spelling of 1322331032101 in words is "one trillion, three hundred twenty-two billion, three hundred thirty-one million, thirty-two thousand, one hundred one".