101131320444 has 192 divisors, whose sum is σ = 311743488000. Its totient is φ = 24719904000.

The previous prime is 101131320421. The next prime is 101131320449. The reversal of 101131320444 is 444023131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131320449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2631882 + ... + 2670030.

It is an arithmetic number, because the mean of its divisors is an integer number (1623664000).

Almost surely, 2^101131320444 is an apocalyptic number.

101131320444 is a gapful number since it is divisible by the number (14) 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 101131320444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155871744000).

101131320444 is an abundant number, since it is smaller than the sum of its proper divisors (210612167556).

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

101131320444 is a wasteful number, since it uses less digits than its factorization.

101131320444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38344 (or 38342 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101131320444 its reverse (444023131101), we get a palindrome (545154451545).

The spelling of 101131320444 in words is "one hundred one billion, one hundred thirty-one million, three hundred twenty thousand, four hundred forty-four".