1322131110031 has 16 divisors (see below), whose sum is σ = 1358127872640. Its totient is φ = 1286377092000.

The previous prime is 1322131110019. The next prime is 1322131110049. The reversal of 1322131110031 is 1300111312231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1322131110031 is a prime.

It is a super-3 number, since 3×1322131110031³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1322131109990 and 1322131110008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322131110331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28337040 + ... + 28383658.

It is an arithmetic number, because the mean of its divisors is an integer number (84882992040).

Almost surely, 2^{1322131110031} is an apocalyptic number.

1322131110031 is a deficient number, since it is larger than the sum of its proper divisors (35996762609).

1322131110031 is a wasteful number, since it uses less digits than its factorization.

1322131110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49206.

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

Adding to 1322131110031 its reverse (1300111312231), we get a palindrome (2622242422262).

The spelling of 1322131110031 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-one million, one hundred ten thousand, thirty-one".