131217408000000 has 2520 divisors, whose sum is σ = 564992852686416. Its totient is φ = 29727129600000.

The previous prime is 131217407999987. The next prime is 131217408000011. The reversal of 131217408000000 is 804712131.

131217408000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 139 ways as a sum of consecutive naturals, for example, 1161215999944 + ... + 1161216000056.

Almost surely, 2^{131217408000000} is an apocalyptic number.

131217408000000 is a gapful number since it is divisible by the number (10) 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 131217408000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282496426343208).

131217408000000 is an abundant number, since it is smaller than the sum of its proper divisors (433775444686416).

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

131217408000000 is an frugal number, since it uses more digits than its factorization.

131217408000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 131217408000000 in words is "one hundred thirty-one trillion, two hundred seventeen billion, four hundred eight million", and thus it is an aban number.