131660101642212 has 288 divisors, whose sum is σ = 394276172209920. Its totient is φ = 36822933734400.

The previous prime is 131660101642211. The next prime is 131660101642213. The reversal of 131660101642212 is 212246101066131.

131660101642212 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 6 + 0 + 1 + 0 + 1 + 642 + 2 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (131660101642211) and next prime (131660101642213).

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

It is not an unprimeable number, because it can be changed into a prime (131660101642211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8920658089 + ... + 8920672847.

It is an arithmetic number, because the mean of its divisors is an integer number (1369014486840).

Almost surely, 2^{131660101642212} is an apocalyptic number.

131660101642212 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 131660101642212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197138086104960).

131660101642212 is an abundant number, since it is smaller than the sum of its proper divisors (262616070567708).

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

131660101642212 is a wasteful number, since it uses less digits than its factorization.

131660101642212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29136 (or 29109 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 131660101642212 in words is "one hundred thirty-one trillion, six hundred sixty billion, one hundred one million, six hundred forty-two thousand, two hundred twelve".