131033032300313 has 64 divisors (see below), whose sum is σ = 162643688632320. Its totient is φ = 103784545728000.

The previous prime is 131033032300283. The next prime is 131033032300319. The reversal of 131033032300313 is 313003230330131.

It is a happy number.

It is not a de Polignac number, because 131033032300313 - 2⁸ = 131033032300057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131033032300319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6113600645 + ... + 6113622077.

It is an arithmetic number, because the mean of its divisors is an integer number (2541307634880).

Almost surely, 2^{131033032300313} is an apocalyptic number.

131033032300313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131033032300313 is a deficient number, since it is larger than the sum of its proper divisors (31610656332007).

131033032300313 is a wasteful number, since it uses less digits than its factorization.

131033032300313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29710.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 131033032300313 its reverse (313003230330131), we get a palindrome (444036262630444).

The spelling of 131033032300313 in words is "one hundred thirty-one trillion, thirty-three billion, thirty-two million, three hundred thousand, three hundred thirteen".