101133586380960 has 1152 divisors, whose sum is σ = 436469102899200. Its totient is φ = 21365262950400.

The previous prime is 101133586380917. The next prime is 101133586380971. The reversal of 101133586380960 is 69083685331101.

101133586380960 is a `hidden beast` number, since 10 + 1 + 13 + 3 + 586 + 38 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 101133586380897 and 101133586380906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 965783005 + ... + 965887715.

It is an arithmetic number, because the mean of its divisors is an integer number (378879429600).

Almost surely, 2^{101133586380960} is an apocalyptic number.

101133586380960 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 101133586380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218234551449600).

101133586380960 is an abundant number, since it is smaller than the sum of its proper divisors (335335516518240).

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

101133586380960 is a wasteful number, since it uses less digits than its factorization.

101133586380960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104843 (or 104788 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 101133586380960 in words is "one hundred one trillion, one hundred thirty-three billion, five hundred eighty-six million, three hundred eighty thousand, nine hundred sixty".