44331053131100 has 144 divisors (see below), whose sum is σ = 98128955261568. Its totient is φ = 17380337909760.

The previous prime is 44331053131081. The next prime is 44331053131103. The reversal of 44331053131100 is 113135013344.

It is a happy number.

It is a super-2 number, since 2×44331053131100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44331053131103) 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 47 ways as a sum of consecutive naturals, for example, 1421626109 + ... + 1421657291.

Almost surely, 2^{44331053131100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44331053131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49064477630784).

44331053131100 is an abundant number, since it is smaller than the sum of its proper divisors (53797902130468).

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

44331053131100 is a wasteful number, since it uses less digits than its factorization.

44331053131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32704 (or 32697 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 44331053131100 its reverse (113135013344), we get a palindrome (44444188144444).

The spelling of 44331053131100 in words is "forty-four trillion, three hundred thirty-one billion, fifty-three million, one hundred thirty-one thousand, one hundred".