131369770571424 has 192 divisors, whose sum is σ = 430045308241920. Its totient is φ = 34113456645120.

The previous prime is 131369770571419. The next prime is 131369770571467. The reversal of 131369770571424 is 424175077963131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27259077 + ... + 31714299.

It is an arithmetic number, because the mean of its divisors is an integer number (2239819313760).

Almost surely, 2^{131369770571424} is an apocalyptic number.

131369770571424 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 131369770571424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215022654120960).

131369770571424 is an abundant number, since it is smaller than the sum of its proper divisors (298675537670496).

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

131369770571424 is a wasteful number, since it uses less digits than its factorization.

131369770571424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459243 (or 4459235 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 131369770571424 in words is "one hundred thirty-one trillion, three hundred sixty-nine billion, seven hundred seventy million, five hundred seventy-one thousand, four hundred twenty-four".