13200122100231 has 48 divisors (see below), whose sum is σ = 21363305177760. Its totient is φ = 7783511304960.

The previous prime is 13200122100173. The next prime is 13200122100233.

13200122100231 is a `hidden beast` number, since 1 + 320 + 0 + 12 + 2 + 100 + 231 = 666.

13200122100231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13200122100231 - 2²³ = 13200113711623 is a prime.

It is a super-2 number, since 2×13200122100231² (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 (13200122100233) 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, 99761625 + ... + 99893853.

It is an arithmetic number, because the mean of its divisors is an integer number (445068857870).

Almost surely, 2^{13200122100231} is an apocalyptic number.

13200122100231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13200122100231 is a deficient number, since it is larger than the sum of its proper divisors (8163183077529).

13200122100231 is a wasteful number, since it uses less digits than its factorization.

13200122100231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159536 (or 159533 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, 1320012 and 2100231, that added together give a palindrome (3420243).

The spelling of 13200122100231 in words is "thirteen trillion, two hundred billion, one hundred twenty-two million, one hundred thousand, two hundred thirty-one".