10133355120 has 320 divisors, whose sum is σ = 37925191680. Its totient is φ = 2186486784.

The previous prime is 10133355119. The next prime is 10133355143. The reversal of 10133355120 is 2155333101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16693857 + ... + 16694463.

It is an arithmetic number, because the mean of its divisors is an integer number (118516224).

Almost surely, 2^10133355120 is an apocalyptic number.

10133355120 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 10133355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18962595840).

10133355120 is an abundant number, since it is smaller than the sum of its proper divisors (27791836560).

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

10133355120 is a wasteful number, since it uses less digits than its factorization.

10133355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 10133355120 its reverse (2155333101), we get a palindrome (12288688221).

The spelling of 10133355120 in words is "ten billion, one hundred thirty-three million, three hundred fifty-five thousand, one hundred twenty".