131168682912 has 96 divisors (see below), whose sum is σ = 349640407872. Its totient is φ = 43047696384.

The previous prime is 131168682907. The next prime is 131168682917. The reversal of 131168682912 is 219286861131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131168682907) and next prime (131168682917).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (131168682917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15927948 + ... + 15936180.

It is an arithmetic number, because the mean of its divisors is an integer number (3642087582).

Almost surely, 2^131168682912 is an apocalyptic number.

131168682912 is a gapful number since it is divisible by the number (12) 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 131168682912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174820203936).

131168682912 is an abundant number, since it is smaller than the sum of its proper divisors (218471724960).

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

131168682912 is a wasteful number, since it uses less digits than its factorization.

131168682912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790 (or 10782 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The spelling of 131168682912 in words is "one hundred thirty-one billion, one hundred sixty-eight million, six hundred eighty-two thousand, nine hundred twelve".