132131121201313 has 8 divisors (see below), whose sum is σ = 142295568345000. Its totient is φ = 121966747592448.

The previous prime is 132131121201283. The next prime is 132131121201337. The reversal of 132131121201313 is 313102121131231.

It can be written as a sum of positive squares in 4 ways, for example, as 852506895969 + 131278614305344 = 923313^2 + 11457688^2 .

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 132131121201313 - 2²⁵ = 132131087646881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132131121201913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14623288 + ... + 21865561.

It is an arithmetic number, because the mean of its divisors is an integer number (17786946043125).

Almost surely, 2^{132131121201313} is an apocalyptic number.

132131121201313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132131121201313 is a deficient number, since it is larger than the sum of its proper divisors (10164447143687).

132131121201313 is a wasteful number, since it uses less digits than its factorization.

132131121201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36767411.

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

Adding to 132131121201313 its reverse (313102121131231), we get a palindrome (445233242332544).

The spelling of 132131121201313 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, one hundred twenty-one million, two hundred one thousand, three hundred thirteen".