141100513344 has 336 divisors, whose sum is σ = 484546363392. Its totient is φ = 38383082496.

The previous prime is 141100513331. The next prime is 141100513369. The reversal of 141100513344 is 443315001141.

141100513344 is a `hidden beast` number, since 1 + 4 + 1 + 100 + 513 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20676717 + ... + 20683539.

It is an arithmetic number, because the mean of its divisors is an integer number (1442102272).

Almost surely, 2^141100513344 is an apocalyptic number.

141100513344 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 141100513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242273181696).

141100513344 is an abundant number, since it is smaller than the sum of its proper divisors (343445850048).

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

141100513344 is a wasteful number, since it uses less digits than its factorization.

141100513344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094 (or 7081 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 141100513344 its reverse (443315001141), we get a palindrome (584415514485).

The spelling of 141100513344 in words is "one hundred forty-one billion, one hundred million, five hundred thirteen thousand, three hundred forty-four".