131413101334301 has 8 divisors (see below), whose sum is σ = 132548993811000. Its totient is φ = 130280594529280.

The previous prime is 131413101334241. The next prime is 131413101334351. The reversal of 131413101334301 is 103433101314131.

It can be written as a sum of positive squares in 4 ways, for example, as 151398031801 + 131261703302500 = 389099^2 + 11456950^2 .

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 131413101334301 - 2⁶ = 131413101334237 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 (131413101334351) 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, 846339956 + ... + 846495213.

It is an arithmetic number, because the mean of its divisors is an integer number (16568624226375).

Almost surely, 2^{131413101334301} is an apocalyptic number.

It is an amenable number.

131413101334301 is a deficient number, since it is larger than the sum of its proper divisors (1135892476699).

131413101334301 is a wasteful number, since it uses less digits than its factorization.

131413101334301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692835839.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 131413101334301 its reverse (103433101314131), we get a palindrome (234846202648432).

The spelling of 131413101334301 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred one million, three hundred thirty-four thousand, three hundred one".