131442234100 has 72 divisors (see below), whose sum is σ = 287278722360. Its totient is φ = 52200046080.

The previous prime is 131442234097. The next prime is 131442234107. The reversal of 131442234100 is 1432244131.

It can be written as a sum of positive squares in 12 ways, for example, as 12921778276 + 118520455824 = 113674^2 + 344268^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131442234107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13367986 + ... + 13377814.

It is an arithmetic number, because the mean of its divisors is an integer number (3989982255).

Almost surely, 2^131442234100 is an apocalyptic number.

131442234100 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 131442234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143639361180).

131442234100 is an abundant number, since it is smaller than the sum of its proper divisors (155836488260).

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

131442234100 is a wasteful number, since it uses less digits than its factorization.

131442234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10789 (or 10782 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 131442234100 its reverse (1432244131), we get a palindrome (132874478231).

The spelling of 131442234100 in words is "one hundred thirty-one billion, four hundred forty-two million, two hundred thirty-four thousand, one hundred".