131188358970000 has 600 divisors, whose sum is σ = 477856318779840. Its totient is φ = 34830648000000.

The previous prime is 131188358969977. The next prime is 131188358970029. The reversal of 131188358970000 is 79853881131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 556352125 + ... + 556587875.

Almost surely, 2^{131188358970000} is an apocalyptic number.

131188358970000 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 131188358970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238928159389920).

131188358970000 is an abundant number, since it is smaller than the sum of its proper divisors (346667959809840).

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

131188358970000 is an equidigital number, since it uses as much as digits as its factorization.

131188358970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236023 (or 235990 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 131188358970000 in words is "one hundred thirty-one trillion, one hundred eighty-eight billion, three hundred fifty-eight million, nine hundred seventy thousand".