101328137600 has 384 divisors, whose sum is σ = 273196800000. Its totient is φ = 37022515200.

The previous prime is 101328137527. The next prime is 101328137633. The reversal of 101328137600 is 6731823101.

101328137600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 203062151 + ... + 203062649.

It is an arithmetic number, because the mean of its divisors is an integer number (711450000).

Almost surely, 2^101328137600 is an apocalyptic number.

101328137600 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 101328137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400000).

101328137600 is an abundant number, since it is smaller than the sum of its proper divisors (171868662400).

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

101328137600 is a wasteful number, since it uses less digits than its factorization.

101328137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 101328137600 in words is "one hundred one billion, three hundred twenty-eight million, one hundred thirty-seven thousand, six hundred".