131067681120 has 480 divisors, whose sum is σ = 476905369248. Its totient is φ = 33874993152.

The previous prime is 131067681097. The next prime is 131067681131. The reversal of 131067681120 is 21186760131.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 212427052 + ... + 212427668.

Almost surely, 2^131067681120 is an apocalyptic number.

131067681120 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 131067681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238452684624).

131067681120 is an abundant number, since it is smaller than the sum of its proper divisors (345837688128).

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

131067681120 is a wasteful number, since it uses less digits than its factorization.

131067681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 131067681120 in words is "one hundred thirty-one billion, sixty-seven million, six hundred eighty-one thousand, one hundred twenty".