131413111413399 has 48 divisors (see below), whose sum is σ = 202652258425344. Its totient is φ = 81880032168000.

The previous prime is 131413111413323. The next prime is 131413111413401. The reversal of 131413111413399 is 993314111314131.

131413111413399 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 131 + 11 + 413 + 3 + 99 = 666.

It is not a de Polignac number, because 131413111413399 - 2⁹ = 131413111412887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413111413319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32554617 + ... + 36367970.

It is an arithmetic number, because the mean of its divisors is an integer number (4221922050528).

Almost surely, 2^{131413111413399} is an apocalyptic number.

131413111413399 is a deficient number, since it is larger than the sum of its proper divisors (71239147011945).

131413111413399 is a wasteful number, since it uses less digits than its factorization.

131413111413399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68922828 (or 68922825 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The spelling of 131413111413399 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred eleven million, four hundred thirteen thousand, three hundred ninety-nine".