131413123114301 has 8 divisors (see below), whose sum is σ = 150449449934784. Its totient is φ = 112442552173440.

The previous prime is 131413123114241. The next prime is 131413123114321. The reversal of 131413123114301 is 103411321314131.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131413123114301 is a prime.

It is a super-3 number, since 3×131413123114301³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413123114321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16438965620 + ... + 16438973613.

It is an arithmetic number, because the mean of its divisors is an integer number (18806181241848).

Almost surely, 2^{131413123114301} is an apocalyptic number.

It is an amenable number.

131413123114301 is a deficient number, since it is larger than the sum of its proper divisors (19036326820483).

131413123114301 is an equidigital number, since it uses as much as digits as its factorization.

131413123114301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32877939811.

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 131413123114301 its reverse (103411321314131), we get a palindrome (234824444428432).

The spelling of 131413123114301 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred twenty-three million, one hundred fourteen thousand, three hundred one".