131012133011413 has 8 divisors (see below), whose sum is σ = 134983980749336. Its totient is φ = 127099127462400.

The previous prime is 131012133011399. The next prime is 131012133011437. The reversal of 131012133011413 is 314110331210131.

It can be written as a sum of positive squares in 4 ways, for example, as 5239878090084 + 125772254921329 = 2289078^2 + 11214823^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131012133011413 - 2²⁵ = 131012099456981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012133011213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14710542708 + ... + 14710551613.

It is an arithmetic number, because the mean of its divisors is an integer number (16872997593667).

Almost surely, 2^{131012133011413} is an apocalyptic number.

It is an amenable number.

131012133011413 is a deficient number, since it is larger than the sum of its proper divisors (3971847737923).

131012133011413 is an equidigital number, since it uses as much as digits as its factorization.

131012133011413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29421094455.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 131012133011413 its reverse (314110331210131), we get a palindrome (445122464221544).

The spelling of 131012133011413 in words is "one hundred thirty-one trillion, twelve billion, one hundred thirty-three million, eleven thousand, four hundred thirteen".