13022331132213 has 48 divisors (see below), whose sum is σ = 21091213044720. Its totient is φ = 7690116326400.

The previous prime is 13022331132143. The next prime is 13022331132337. The reversal of 13022331132213 is 31223113322031.

13022331132213 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 331 + 1 + 322 + 1 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7498735977924 + 5523595154289 = 2738382^2 + 2350233^2 .

It is not a de Polignac number, because 13022331132213 - 2¹³ = 13022331124021 is a prime.

It is a super-2 number, since 2×13022331132213² (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 (13022330132213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21958878 + ... + 22544111.

It is an arithmetic number, because the mean of its divisors is an integer number (439400271765).

Almost surely, 2^{13022331132213} is an apocalyptic number.

13022331132213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13022331132213 is a deficient number, since it is larger than the sum of its proper divisors (8068881912507).

13022331132213 is a wasteful number, since it uses less digits than its factorization.

13022331132213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44503110 (or 44503107 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13022331132213 its reverse (31223113322031), we get a palindrome (44245444454244).

The spelling of 13022331132213 in words is "thirteen trillion, twenty-two billion, three hundred thirty-one million, one hundred thirty-two thousand, two hundred thirteen".