12101131123313 has 16 divisors (see below), whose sum is σ = 12424776032592. Its totient is φ = 11778849792000.

The previous prime is 12101131123271. The next prime is 12101131123343. The reversal of 12101131123313 is 31332113110121.

It can be written as a sum of positive squares in 8 ways, for example, as 7800223380544 + 4300907742769 = 2792888^2 + 2073863^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101131123313 - 2⁸ = 12101131123057 is a prime.

It is a super-2 number, since 2×12101131123313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12101131123343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163286495 + ... + 163360587.

It is an arithmetic number, because the mean of its divisors is an integer number (776548502037).

Almost surely, 2^{12101131123313} is an apocalyptic number.

It is an amenable number.

12101131123313 is a deficient number, since it is larger than the sum of its proper divisors (323644909279).

12101131123313 is an equidigital number, since it uses as much as digits as its factorization.

12101131123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83236.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 12101131123313 its reverse (31332113110121), we get a palindrome (43433244233434).

The spelling of 12101131123313 in words is "twelve trillion, one hundred one billion, one hundred thirty-one million, one hundred twenty-three thousand, three hundred thirteen".