131410401320133 has 96 divisors (see below), whose sum is σ = 214747366579200. Its totient is φ = 76830131169792.

The previous prime is 131410401320117. The next prime is 131410401320147. The reversal of 131410401320133 is 331023104014131.

131410401320133 is a `hidden beast` number, since 1 + 3 + 1 + 410 + 4 + 0 + 13 + 201 + 33 = 666.

It is not a de Polignac number, because 131410401320133 - 2⁴ = 131410401320117 is a prime.

It is a super-2 number, since 2×131410401320133² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131410401320097 and 131410401320106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131410401327133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249922335 + ... + 250447587.

It is an arithmetic number, because the mean of its divisors is an integer number (2236951735200).

Almost surely, 2^{131410401320133} is an apocalyptic number.

131410401320133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131410401320133 is a deficient number, since it is larger than the sum of its proper divisors (83336965259067).

131410401320133 is a wasteful number, since it uses less digits than its factorization.

131410401320133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525923 (or 525920 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131410401320133 its reverse (331023104014131), we get a palindrome (462433505334264).

The spelling of 131410401320133 in words is "one hundred thirty-one trillion, four hundred ten billion, four hundred one million, three hundred twenty thousand, one hundred thirty-three".