10133121024 has 216 divisors, whose sum is σ = 31700484270. Its totient is φ = 3116924928.

The previous prime is 10133121023. The next prime is 10133121029. The reversal of 10133121024 is 42012133101.

10133121024 is a `hidden beast` number, since 101 + 331 + 210 + 24 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8405222400 + 1727898624 = 91680^2 + 41568^2 .

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 = 10133120988 and 10133121006.

It is not an unprimeable number, because it can be changed into a prime (10133121023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3113382 + ... + 3116634.

Almost surely, 2^10133121024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850242135).

10133121024 is an abundant number, since it is smaller than the sum of its proper divisors (21567363246).

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

10133121024 is a wasteful number, since it uses less digits than its factorization.

10133121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10133121024 its reverse (42012133101), we get a palindrome (52145254125).

The spelling of 10133121024 in words is "ten billion, one hundred thirty-three million, one hundred twenty-one thousand, twenty-four".