131041303201984 has 112 divisors (see below), whose sum is σ = 304185300947968. Its totient is φ = 54838063300608.

The previous prime is 131041303201891. The next prime is 131041303201987. The reversal of 131041303201984 is 489102303140131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×131041303201984² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131041303201987) 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, 63382144 + ... + 65416960.

Almost surely, 2^{131041303201984} is an apocalyptic number.

131041303201984 is a gapful number since it is divisible by the number (14) 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 131041303201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152092650473984).

131041303201984 is an abundant number, since it is smaller than the sum of its proper divisors (173143997745984).

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

131041303201984 is a wasteful number, since it uses less digits than its factorization.

131041303201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038222 (or 2038212 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 131041303201984 in words is "one hundred thirty-one trillion, forty-one billion, three hundred three million, two hundred one thousand, nine hundred eighty-four".