13122031322101 has 16 divisors (see below), whose sum is σ = 15355021642240. Its totient is φ = 11104970996160.

The previous prime is 13122031322077. The next prime is 13122031322107. The reversal of 13122031322101 is 10122313022131.

It is a cyclic number.

It is not a de Polignac number, because 13122031322101 - 2¹⁵ = 13122031289333 is a prime.

It is a super-2 number, since 2×13122031322101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122031322107) 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, 856857390 + ... + 856872703.

It is an arithmetic number, because the mean of its divisors is an integer number (959688852640).

Almost surely, 2^{13122031322101} is an apocalyptic number.

It is an amenable number.

13122031322101 is a deficient number, since it is larger than the sum of its proper divisors (2232990320139).

13122031322101 is a wasteful number, since it uses less digits than its factorization.

13122031322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713730156.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13122031322101 its reverse (10122313022131), we get a palindrome (23244344344232).

The spelling of 13122031322101 in words is "thirteen trillion, one hundred twenty-two billion, thirty-one million, three hundred twenty-two thousand, one hundred one".