101329259328 has 336 divisors, whose sum is σ = 334291838400. Its totient is φ = 29022658560.

The previous prime is 101329259327. The next prime is 101329259341. The reversal of 101329259328 is 823952923101.

101329259328 is a `hidden beast` number, since 1 + 0 + 1 + 32 + 9 + 2 + 593 + 28 = 666.

It is a super-2 number, since 2×101329259328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101329259323) 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, 78610108 + ... + 78611396.

Almost surely, 2^101329259328 is an apocalyptic number.

101329259328 is a gapful number since it is divisible by the number (18) 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 101329259328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167145919200).

101329259328 is an abundant number, since it is smaller than the sum of its proper divisors (232962579072).

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

101329259328 is a wasteful number, since it uses less digits than its factorization.

101329259328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 101329259328 in words is "one hundred one billion, three hundred twenty-nine million, two hundred fifty-nine thousand, three hundred twenty-eight".