13220022002231 has 16 divisors (see below), whose sum is σ = 14567576025600. Its totient is φ = 11896848556320.

The previous prime is 13220022002221. The next prime is 13220022002233.

It is a happy number.

13220022002231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13220022002231 - 2¹⁴ = 13220021985847 is a prime.

It is a super-3 number, since 3×13220022002231³ (a number of 40 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220022002233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599246 + ... + 5176788.

It is an arithmetic number, because the mean of its divisors is an integer number (910473501600).

Almost surely, 2^{13220022002231} is an apocalyptic number.

13220022002231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13220022002231 is a deficient number, since it is larger than the sum of its proper divisors (1347554023369).

13220022002231 is a wasteful number, since it uses less digits than its factorization.

13220022002231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580206.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 1322002 and 2002231, that added together give a palindrome (3324233).

The spelling of 13220022002231 in words is "thirteen trillion, two hundred twenty billion, twenty-two million, two thousand, two hundred thirty-one".