10033413120 has 132 divisors (see below), whose sum is σ = 34765674840. Its totient is φ = 2675564544.

The previous prime is 10033413109. The next prime is 10033413133. The reversal of 10033413120 is 2131433001.

10033413120 is a `hidden beast` number, since 10 + 0 + 3 + 341 + 312 + 0 = 666.

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 = 10033413093 and 10033413102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62790 + ... + 154949.

Almost surely, 2^10033413120 is an apocalyptic number.

10033413120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033413120 is an abundant number, since it is smaller than the sum of its proper divisors (24732261720).

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

10033413120 is a wasteful number, since it uses less digits than its factorization.

10033413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217770 (or 217749 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10033413120 its reverse (2131433001), we get a palindrome (12164846121).

The spelling of 10033413120 in words is "ten billion, thirty-three million, four hundred thirteen thousand, one hundred twenty".