12131332032313 has 24 divisors (see below), whose sum is σ = 13234496182776. Its totient is φ = 11114468352000.

The previous prime is 12131332032277. The next prime is 12131332032349. The reversal of 12131332032313 is 31323023313121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12131332032277) and next prime (12131332032349).

It can be written as a sum of positive squares in 12 ways, for example, as 8638967180944 + 3492364851369 = 2939212^2 + 1868787^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12131332032313 is a prime.

It is a super-2 number, since 2×12131332032313² (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 (12131332032373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141676713 + ... + 141762313.

It is an arithmetic number, because the mean of its divisors is an integer number (551437340949).

Almost surely, 2^{12131332032313} is an apocalyptic number.

12131332032313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12131332032313 is a deficient number, since it is larger than the sum of its proper divisors (1103164150463).

12131332032313 is a wasteful number, since it uses less digits than its factorization.

12131332032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91885 (or 91872 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 12131332032313 its reverse (31323023313121), we get a palindrome (43454355345434).

The spelling of 12131332032313 in words is "twelve trillion, one hundred thirty-one billion, three hundred thirty-two million, thirty-two thousand, three hundred thirteen".