131399411082976 has 192 divisors, whose sum is σ = 285328422844416. Its totient is φ = 59294011392000.

The previous prime is 131399411082971. The next prime is 131399411083009. The reversal of 131399411082976 is 679280114993131.

It is a super-2 number, since 2×131399411082976² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131399411082971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8847841951 + ... + 8847856801.

It is an arithmetic number, because the mean of its divisors is an integer number (1486085535648).

Almost surely, 2^{131399411082976} is an apocalyptic number.

131399411082976 is a gapful number since it is divisible by the number (16) 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 131399411082976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142664211422208).

131399411082976 is an abundant number, since it is smaller than the sum of its proper divisors (153929011761440).

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

131399411082976 is a wasteful number, since it uses less digits than its factorization.

131399411082976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19665 (or 19657 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 64.

The spelling of 131399411082976 in words is "one hundred thirty-one trillion, three hundred ninety-nine billion, four hundred eleven million, eighty-two thousand, nine hundred seventy-six".