13220321220031 has 8 divisors (see below), whose sum is σ = 13231345075200. Its totient is φ = 13209300376440.

The previous prime is 13220321219969. The next prime is 13220321220059. The reversal of 13220321220031 is 13002212302231.

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

It is a cyclic number.

It is not a de Polignac number, because 13220321220031 - 2²⁹ = 13219784349119 is a prime.

It is a super-2 number, since 2×13220321220031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13220321219984 and 13220321220011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220321220061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8073510 + ... + 9571948.

It is an arithmetic number, because the mean of its divisors is an integer number (1653918134400).

Almost surely, 2^{13220321220031} is an apocalyptic number.

13220321220031 is a deficient number, since it is larger than the sum of its proper divisors (11023855169).

13220321220031 is a wasteful number, since it uses less digits than its factorization.

13220321220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505789.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13220321220031 its reverse (13002212302231), we get a palindrome (26222533522262).

The spelling of 13220321220031 in words is "thirteen trillion, two hundred twenty billion, three hundred twenty-one million, two hundred twenty thousand, thirty-one".