131413130032311 has 24 divisors (see below), whose sum is σ = 198970759203216. Its totient is φ = 83484234610560.

The previous prime is 131413130032309. The next prime is 131413130032321. The reversal of 131413130032311 is 113230031314131.

131413130032311 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 31 + 300 + 323 + 1 + 1 = 666.

It is not a de Polignac number, because 131413130032311 - 2¹ = 131413130032309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413130032321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4141067200 + ... + 4141098933.

It is an arithmetic number, because the mean of its divisors is an integer number (8290448300134).

Almost surely, 2^{131413130032311} is an apocalyptic number.

131413130032311 is a deficient number, since it is larger than the sum of its proper divisors (67557629170905).

131413130032311 is a wasteful number, since it uses less digits than its factorization.

131413130032311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282166223 (or 8282166220 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131413130032311 its reverse (113230031314131), we get a palindrome (244643161346442).

The spelling of 131413130032311 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred thirty million, thirty-two thousand, three hundred eleven".