13220034122031 has 8 divisors (see below), whose sum is σ = 19229140541184. Its totient is φ = 8012141892120.

The previous prime is 13220034121997. The next prime is 13220034122041. The reversal of 13220034122031 is 13022143002231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13220034122031 - 2⁶ = 13220034121967 is a prime.

It is a super-2 number, since 2×13220034122031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13220034121992 and 13220034122010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220034122041) 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 in 7 ways as a sum of consecutive naturals, for example, 200303547271 + ... + 200303547336.

It is an arithmetic number, because the mean of its divisors is an integer number (2403642567648).

Almost surely, 2^{13220034122031} is an apocalyptic number.

13220034122031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13220034122031 is a deficient number, since it is larger than the sum of its proper divisors (6009106419153).

13220034122031 is a wasteful number, since it uses less digits than its factorization.

13220034122031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400607094621.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13220034122031 its reverse (13022143002231), we get a palindrome (26242177124262).

The spelling of 13220034122031 in words is "thirteen trillion, two hundred twenty billion, thirty-four million, one hundred twenty-two thousand, thirty-one".