101332320000000 has 1536 divisors, whose sum is σ = 365477814374400. Its totient is φ = 24883200000000.

The previous prime is 101332319999941. The next prime is 101332320000001. The reversal of 101332320000000 is 23233101.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332320000001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 373919999865 + ... + 373920000135.

It is an arithmetic number, because the mean of its divisors is an integer number (237941285400).

Almost surely, 2^{101332320000000} is an apocalyptic number.

101332320000000 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 101332320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182738907187200).

101332320000000 is an abundant number, since it is smaller than the sum of its proper divisors (264145494374400).

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

101332320000000 is an frugal number, since it uses more digits than its factorization.

101332320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 101332320000000 its reverse (23233101), we get a palindrome (101332343233101).

The spelling of 101332320000000 in words is "one hundred one trillion, three hundred thirty-two billion, three hundred twenty million", and thus it is an aban number.