101333144000 has 168 divisors, whose sum is σ = 275841921264. Its totient is φ = 36848064000.

The previous prime is 101333143997. The next prime is 101333144023. The reversal of 101333144000 is 441333101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 915659 + ... + 1020341.

It is an arithmetic number, because the mean of its divisors is an integer number (1641916198).

Almost surely, 2^101333144000 is an apocalyptic number.

101333144000 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 101333144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137920960632).

101333144000 is an abundant number, since it is smaller than the sum of its proper divisors (174508777264).

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

101333144000 is a wasteful number, since it uses less digits than its factorization.

101333144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104732 (or 104701 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 101333144000 its reverse (441333101), we get a palindrome (101774477101).

The spelling of 101333144000 in words is "one hundred one billion, three hundred thirty-three million, one hundred forty-four thousand".