10133416384 has 112 divisors (see below), whose sum is σ = 25254712000. Its totient is φ = 4008711168.

The previous prime is 10133416343. The next prime is 10133416387. The reversal of 10133416384 is 48361433101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×10133416384³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133416387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267622 + ... + 303130.

It is an arithmetic number, because the mean of its divisors is an integer number (225488500).

Almost surely, 2^10133416384 is an apocalyptic number.

10133416384 is a gapful number since it is divisible by the number (14) 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 10133416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12627356000).

10133416384 is an abundant number, since it is smaller than the sum of its proper divisors (15121295616).

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

10133416384 is an equidigital number, since it uses as much as digits as its factorization.

10133416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35555 (or 35531 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Adding to 10133416384 its reverse (48361433101), we get a palindrome (58494849485).

The spelling of 10133416384 in words is "ten billion, one hundred thirty-three million, four hundred sixteen thousand, three hundred eighty-four".