131143213332100 has 144 divisors (see below), whose sum is σ = 302377796582400. Its totient is φ = 49230804654720.

The previous prime is 131143213332067. The next prime is 131143213332107. The reversal of 131143213332100 is 1233312341131.

It is not an unprimeable number, because it can be changed into a prime (131143213332107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88713217 + ... + 90179383.

It is an arithmetic number, because the mean of its divisors is an integer number (2099845809600).

Almost surely, 2^{131143213332100} is an apocalyptic number.

131143213332100 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 131143213332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151188898291200).

131143213332100 is an abundant number, since it is smaller than the sum of its proper divisors (171234583250300).

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

131143213332100 is a wasteful number, since it uses less digits than its factorization.

131143213332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466642 (or 1466635 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 131143213332100 its reverse (1233312341131), we get a palindrome (132376525673231).

The spelling of 131143213332100 in words is "one hundred thirty-one trillion, one hundred forty-three billion, two hundred thirteen million, three hundred thirty-two thousand, one hundred".