12301133110321 has 32 divisors (see below), whose sum is σ = 14225642143488. Its totient is φ = 10512561162240.

The previous prime is 12301133110291. The next prime is 12301133110373.

12301133110321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12301133110321 - 2¹³ = 12301133102129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12301133110292 and 12301133110301.

It is not an unprimeable number, because it can be changed into a prime (12301133110381) 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 31 ways as a sum of consecutive naturals, for example, 788172700 + ... + 788188306.

It is an arithmetic number, because the mean of its divisors is an integer number (444551316984).

Almost surely, 2^{12301133110321} is an apocalyptic number.

12301133110321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12301133110321 is a deficient number, since it is larger than the sum of its proper divisors (1924509033167).

12301133110321 is a wasteful number, since it uses less digits than its factorization.

12301133110321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20361.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 1230113 and 3110321, that added together give a palindrome (4340434).

The spelling of 12301133110321 in words is "twelve trillion, three hundred one billion, one hundred thirty-three million, one hundred ten thousand, three hundred twenty-one".