10010132133120 has 432 divisors, whose sum is σ = 41321594099520. Its totient is φ = 2288029814784.

The previous prime is 10010132133101. The next prime is 10010132133173. The reversal of 10010132133120 is 2133123101001.

10010132133120 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 1 + 321 + 331 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10010132133120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10010132133093 and 10010132133102.

It is a congruent number.

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, 1262122 + ... + 4649001.

Almost surely, 2^{10010132133120} is an apocalyptic number.

10010132133120 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 10010132133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20660797049760).

10010132133120 is an abundant number, since it is smaller than the sum of its proper divisors (31311461966400).

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

10010132133120 is an equidigital number, since it uses as much as digits as its factorization.

10010132133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911167 (or 5911140 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10010132133120 its reverse (2133123101001), we get a palindrome (12143255234121).

The spelling of 10010132133120 in words is "ten trillion, ten billion, one hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty".