1322131031101 has 2 divisors, whose sum is σ = 1322131031102. Its totient is φ = 1322131031100.

The previous prime is 1322131031071. The next prime is 1322131031129. The reversal of 1322131031101 is 1011301312231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1001660688900 + 320470342201 = 1000830^2 + 566101^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322131031101 - 2²⁹ = 1321594160189 is a prime.

It is a super-3 number, since 3×1322131031101³ (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 (1322131031141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661065515550 + 661065515551.

It is an arithmetic number, because the mean of its divisors is an integer number (661065515551).

Almost surely, 2^{1322131031101} is an apocalyptic number.

It is an amenable number.

1322131031101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322131031101 is an equidigital number, since it uses as much as digits as its factorization.

1322131031101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1322131031101 its reverse (1011301312231), we get a palindrome (2333432343332).

The spelling of 1322131031101 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-one million, thirty-one thousand, one hundred one".