131413313032323 has 64 divisors (see below), whose sum is σ = 203454295756800. Its totient is φ = 73897818808320.

The previous prime is 131413313032289. The next prime is 131413313032361. The reversal of 131413313032323 is 323230313314131.

It is a happy number.

It is not a de Polignac number, because 131413313032323 - 2¹² = 131413313028227 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131413313032363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1003020643 + ... + 1003151651.

It is an arithmetic number, because the mean of its divisors is an integer number (3178973371200).

Almost surely, 2^{131413313032323} is an apocalyptic number.

131413313032323 is a deficient number, since it is larger than the sum of its proper divisors (72040982724477).

131413313032323 is a wasteful number, since it uses less digits than its factorization.

131413313032323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133092.

The product of its (nonzero) digits is 34992, while the sum is 33.

Adding to 131413313032323 its reverse (323230313314131), we get a palindrome (454643626346454).

The spelling of 131413313032323 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirteen million, thirty-two thousand, three hundred twenty-three".