12133114516133 has 32 divisors (see below), whose sum is σ = 13997612375040. Its totient is φ = 10431335416320.

The previous prime is 12133114516097. The next prime is 12133114516169. The reversal of 12133114516133 is 33161541133121.

It is an interprime number because it is at equal distance from previous prime (12133114516097) and next prime (12133114516169).

It is not a de Polignac number, because 12133114516133 - 2⁶ = 12133114516069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12133114516093 and 12133114516102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133114510133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1999610 + ... + 5316452.

It is an arithmetic number, because the mean of its divisors is an integer number (437425386720).

Almost surely, 2^{12133114516133} is an apocalyptic number.

12133114516133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12133114516133 is a deficient number, since it is larger than the sum of its proper divisors (1864497858907).

12133114516133 is a wasteful number, since it uses less digits than its factorization.

12133114516133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317229.

The product of its digits is 19440, while the sum is 35.

Adding to 12133114516133 its reverse (33161541133121), we get a palindrome (45294655649254).

The spelling of 12133114516133 in words is "twelve trillion, one hundred thirty-three billion, one hundred fourteen million, five hundred sixteen thousand, one hundred thirty-three".