131440321112100 has 1728 divisors, whose sum is σ = 524970599731200. Its totient is φ = 24958596096000.

The previous prime is 131440321112083. The next prime is 131440321112117. The reversal of 131440321112100 is 1211123044131.

It is an interprime number because it is at equal distance from previous prime (131440321112083) and next prime (131440321112117).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 101970768256 + ... + 101970769544.

It is an arithmetic number, because the mean of its divisors is an integer number (303802430400).

Almost surely, 2^{131440321112100} is an apocalyptic number.

131440321112100 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 131440321112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262485299865600).

131440321112100 is an abundant number, since it is smaller than the sum of its proper divisors (393530278619100).

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

131440321112100 is a wasteful number, since it uses less digits than its factorization.

131440321112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131440321112100 its reverse (1211123044131), we get a palindrome (132651444156231).

The spelling of 131440321112100 in words is "one hundred thirty-one trillion, four hundred forty billion, three hundred twenty-one million, one hundred twelve thousand, one hundred".