131201313132313 has 32 divisors (see below), whose sum is σ = 136607337796608. Its totient is φ = 125872591852800.

The previous prime is 131201313132293. The next prime is 131201313132319. The reversal of 131201313132313 is 313231313102131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-131201313132313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131201313132319) 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 31 ways as a sum of consecutive naturals, for example, 5316732531 + ... + 5316757207.

It is an arithmetic number, because the mean of its divisors is an integer number (4268979306144).

Almost surely, 2^{131201313132313} is an apocalyptic number.

It is an amenable number.

131201313132313 is a deficient number, since it is larger than the sum of its proper divisors (5406024664295).

131201313132313 is a wasteful number, since it uses less digits than its factorization.

131201313132313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27313.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 131201313132313 its reverse (313231313102131), we get a palindrome (444432626234444).

The spelling of 131201313132313 in words is "one hundred thirty-one trillion, two hundred one billion, three hundred thirteen million, one hundred thirty-two thousand, three hundred thirteen".