10133920101888 has 640 divisors, whose sum is σ = 33830000455680. Its totient is φ = 2970495590400.

The previous prime is 10133920101869. The next prime is 10133920102003. The reversal of 10133920101888 is 88810102933101.

10133920101888 is a `hidden beast` number, since 101 + 339 + 20 + 10 + 188 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4530137506 + ... + 4530139742.

It is an arithmetic number, because the mean of its divisors is an integer number (52859375712).

Almost surely, 2^{10133920101888} is an apocalyptic number.

10133920101888 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 10133920101888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16915000227840).

10133920101888 is an abundant number, since it is smaller than the sum of its proper divisors (23696080353792).

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

10133920101888 is an frugal number, since it uses more digits than its factorization.

10133920101888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 10133920101888 in words is "ten trillion, one hundred thirty-three billion, nine hundred twenty million, one hundred one thousand, eight hundred eighty-eight".