101330058502728 has 192 divisors, whose sum is σ = 300149839828800. Its totient is φ = 30627657239040.

The previous prime is 101330058502657. The next prime is 101330058502747. The reversal of 101330058502728 is 827205850033101.

101330058502728 is a `hidden beast` number, since 1 + 0 + 13 + 30 + 0 + 585 + 0 + 2 + 7 + 28 = 666.

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 47 ways as a sum of consecutive naturals, for example, 492357175 + ... + 492562937.

It is an arithmetic number, because the mean of its divisors is an integer number (1563280415775).

Almost surely, 2^{101330058502728} is an apocalyptic number.

101330058502728 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 101330058502728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150074919914400).

101330058502728 is an abundant number, since it is smaller than the sum of its proper divisors (198819781326072).

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

101330058502728 is a wasteful number, since it uses less digits than its factorization.

101330058502728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207372 (or 207365 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 101330058502728 in words is "one hundred one trillion, three hundred thirty billion, fifty-eight million, five hundred two thousand, seven hundred twenty-eight".