12101233132313 has 24 divisors (see below), whose sum is σ = 13380164487288. Its totient is φ = 10936930148352.

The previous prime is 12101233132273. The next prime is 12101233132321. The reversal of 12101233132313 is 31323133210121.

It can be written as a sum of positive squares in 12 ways, for example, as 7708574650624 + 4392658481689 = 2776432^2 + 2095867^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12101233132313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12101233132363) 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 23 ways as a sum of consecutive naturals, for example, 1889720 + ... + 5270057.

It is an arithmetic number, because the mean of its divisors is an integer number (557506853637).

Almost surely, 2^{12101233132313} is an apocalyptic number.

12101233132313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12101233132313 is a deficient number, since it is larger than the sum of its proper divisors (1278931354975).

12101233132313 is a wasteful number, since it uses less digits than its factorization.

12101233132313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7160013 (or 7160000 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 12101233132313 its reverse (31323133210121), we get a palindrome (43424366342434).

The spelling of 12101233132313 in words is "twelve trillion, one hundred one billion, two hundred thirty-three million, one hundred thirty-two thousand, three hundred thirteen".