13666666220031 has 192 divisors, whose sum is σ = 20990947461120. Its totient is φ = 7898878944000.

The previous prime is 13666666219981. The next prime is 13666666220087. The reversal of 13666666220031 is 13002266666631.

13666666220031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13666666220031 - 2³³ = 13658076285439 is a prime.

It is a super-2 number, since 2×13666666220031² (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 (13666666220531) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29264809660 + ... + 29264810126.

It is an arithmetic number, because the mean of its divisors is an integer number (109327851360).

Almost surely, 2^{13666666220031} is an apocalyptic number.

13666666220031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13666666220031 is a deficient number, since it is larger than the sum of its proper divisors (7324281241089).

13666666220031 is a wasteful number, since it uses less digits than its factorization.

13666666220031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 13666666220031 in words is "thirteen trillion, six hundred sixty-six billion, six hundred sixty-six million, two hundred twenty thousand, thirty-one".