131219066880 has 1456 divisors, whose sum is σ = 556933480704. Its totient is φ = 29302456320.

The previous prime is 131219066857. The next prime is 131219066933. The reversal of 131219066880 is 88660912131.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2791895017 + ... + 2791895063.

Almost surely, 2^131219066880 is an apocalyptic number.

131219066880 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 131219066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278466740352).

131219066880 is an abundant number, since it is smaller than the sum of its proper divisors (425714413824).

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

131219066880 is an equidigital number, since it uses as much as digits as its factorization.

131219066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 131219066880 in words is "one hundred thirty-one billion, two hundred nineteen million, sixty-six thousand, eight hundred eighty".