10124133004332 has 144 divisors (see below), whose sum is σ = 26028714712000. Its totient is φ = 3317389406208.

The previous prime is 10124133004283. The next prime is 10124133004351. The reversal of 10124133004332 is 23340033142101.

It is a happy number.

10124133004332 is a `hidden beast` number, since 1 + 0 + 1 + 24 + 1 + 3 + 300 + 4 + 332 = 666.

10124133004332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10124133004296 and 10124133004305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1233292644 + ... + 1233300852.

Almost surely, 2^{10124133004332} is an apocalyptic number.

10124133004332 is a gapful number since it is divisible by the number (12) 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 10124133004332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13014357356000).

10124133004332 is an abundant number, since it is smaller than the sum of its proper divisors (15904581707668).

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

10124133004332 is a wasteful number, since it uses less digits than its factorization.

10124133004332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9800 (or 9795 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10124133004332 its reverse (23340033142101), we get a palindrome (33464166146433).

The spelling of 10124133004332 in words is "ten trillion, one hundred twenty-four billion, one hundred thirty-three million, four thousand, three hundred thirty-two".