13220100102231 has 48 divisors (see below), whose sum is σ = 21548610545280. Its totient is φ = 7739552410560.

The previous prime is 13220100102203. The next prime is 13220100102257.

13220100102231 is a `hidden beast` number, since 1 + 322 + 0 + 10 + 0 + 102 + 231 = 666.

13220100102231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13220100102231 - 2¹⁹ = 13220099577943 is a prime.

It is a super-2 number, since 2×13220100102231² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220100102331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12473185 + ... + 13491498.

It is an arithmetic number, because the mean of its divisors is an integer number (448929386360).

Almost surely, 2^{13220100102231} is an apocalyptic number.

13220100102231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13220100102231 is a deficient number, since it is larger than the sum of its proper divisors (8328510443049).

13220100102231 is a wasteful number, since it uses less digits than its factorization.

13220100102231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25964876 (or 25964873 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 13220100 and 102231, that added together give a palindrome (13322331).

The spelling of 13220100102231 in words is "thirteen trillion, two hundred twenty billion, one hundred million, one hundred two thousand, two hundred thirty-one".