10133013120 has 256 divisors, whose sum is σ = 34391952000. Its totient is φ = 2530344960.

The previous prime is 10133013119. The next prime is 10133013133. The reversal of 10133013120 is 2131033101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10133013120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3245160 + ... + 3248280.

Almost surely, 2^10133013120 is an apocalyptic number.

10133013120 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 10133013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17195976000).

10133013120 is an abundant number, since it is smaller than the sum of its proper divisors (24258938880).

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

10133013120 is a wasteful number, since it uses less digits than its factorization.

10133013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10133013120 its reverse (2131033101), we get a palindrome (12264046221).

The spelling of 10133013120 in words is "ten billion, one hundred thirty-three million, thirteen thousand, one hundred twenty".