131224413244100 has 144 divisors (see below), whose sum is σ = 311845765926912. Its totient is φ = 47533424400000.

The previous prime is 131224413244049. The next prime is 131224413244117. The reversal of 131224413244100 is 1442314422131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1815690965 + ... + 1815763235.

Almost surely, 2^{131224413244100} is an apocalyptic number.

131224413244100 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 131224413244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155922882963456).

131224413244100 is an abundant number, since it is smaller than the sum of its proper divisors (180621352682812).

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

131224413244100 is a wasteful number, since it uses less digits than its factorization.

131224413244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78658 (or 78651 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 131224413244100 its reverse (1442314422131), we get a palindrome (132666727666231).

The spelling of 131224413244100 in words is "one hundred thirty-one trillion, two hundred twenty-four billion, four hundred thirteen million, two hundred forty-four thousand, one hundred".