10033013312 has 56 divisors (see below), whose sum is σ = 22812329280. Its totient is φ = 4288734720.

The previous prime is 10033013303. The next prime is 10033013317. The reversal of 10033013312 is 21331033001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10033013312² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10033013317) by changing a digit.

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, 145487 + ... + 203057.

Almost surely, 2^10033013312 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 10033013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11406164640).

10033013312 is an abundant number, since it is smaller than the sum of its proper divisors (12779315968).

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

10033013312 is an equidigital number, since it uses as much as digits as its factorization.

10033013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57979 (or 57969 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10033013312 its reverse (21331033001), we get a palindrome (31364046313).

The spelling of 10033013312 in words is "ten billion, thirty-three million, thirteen thousand, three hundred twelve".