10033013120 has 64 divisors (see below), whose sum is σ = 25830206640. Its totient is φ = 3704494080.

The previous prime is 10033013093. The next prime is 10033013143. The reversal of 10033013120 is 2131033001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10033013120² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10033013095 and 10033013104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594626 + ... + 611265.

Almost surely, 2^10033013120 is an apocalyptic number.

10033013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033013120 is an abundant number, since it is smaller than the sum of its proper divisors (15797193520).

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

10033013120 is a wasteful number, since it uses less digits than its factorization.

10033013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205923 (or 1205911 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10033013120 its reverse (2131033001), we get a palindrome (12164046121).

The spelling of 10033013120 in words is "ten billion, thirty-three million, thirteen thousand, one hundred twenty".