131405137413 has 16 divisors (see below), whose sum is σ = 191417103936. Its totient is φ = 79521827840.

The previous prime is 131405137411. The next prime is 131405137417. The reversal of 131405137413 is 314731504131.

It is a cyclic number.

It is not a de Polignac number, because 131405137413 - 2¹ = 131405137411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131405137411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2918556 + ... + 2963237.

It is an arithmetic number, because the mean of its divisors is an integer number (11963568996).

Almost surely, 2^131405137413 is an apocalyptic number.

It is an amenable number.

131405137413 is a deficient number, since it is larger than the sum of its proper divisors (60011966523).

131405137413 is a wasteful number, since it uses less digits than its factorization.

131405137413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882484.

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 131405137413 in words is "one hundred thirty-one billion, four hundred five million, one hundred thirty-seven thousand, four hundred thirteen".