131413774680384 has 448 divisors, whose sum is σ = 423070619553792. Its totient is φ = 35192070144000.

The previous prime is 131413774680343. The next prime is 131413774680413. The reversal of 131413774680384 is 483086477314131.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302627899 + ... + 303061829.

It is an arithmetic number, because the mean of its divisors is an integer number (944354061504).

Almost surely, 2^{131413774680384} is an apocalyptic number.

131413774680384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131413774680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211535309776896).

131413774680384 is an abundant number, since it is smaller than the sum of its proper divisors (291656844873408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131413774680384 is a wasteful number, since it uses less digits than its factorization.

131413774680384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434174 (or 434164 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 131413774680384 in words is "one hundred thirty-one trillion, four hundred thirteen billion, seven hundred seventy-four million, six hundred eighty thousand, three hundred eighty-four".