131413111400401 has 8 divisors (see below), whose sum is σ = 139254698205000. Its totient is φ = 123583902793728.

The previous prime is 131413111400393. The next prime is 131413111400423. The reversal of 131413111400401 is 104004111314131.

It can be written as a sum of positive squares in 4 ways, for example, as 67361020805376 + 64052090595025 = 8207376^2 + 8003255^2 .

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 131413111400401 - 2³ = 131413111400393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131413111400801) 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, 3094527616 + ... + 3094570081.

It is an arithmetic number, because the mean of its divisors is an integer number (17406837275625).

Almost surely, 2^{131413111400401} is an apocalyptic number.

It is an amenable number.

131413111400401 is a deficient number, since it is larger than the sum of its proper divisors (7841586804599).

131413111400401 is a wasteful number, since it uses less digits than its factorization.

131413111400401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6189098963.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 131413111400401 its reverse (104004111314131), we get a palindrome (235417222714532).

The spelling of 131413111400401 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred eleven million, four hundred thousand, four hundred one".