13033433010 has 128 divisors (see below), whose sum is σ = 36538677504. Its totient is φ = 2945802240.

The previous prime is 13033432957. The next prime is 13033433011. The reversal of 13033433010 is 1033433031.

13033433010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13033433011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247857 + ... + 295803.

It is an arithmetic number, because the mean of its divisors is an integer number (285458418).

Almost surely, 2^13033433010 is an apocalyptic number.

13033433010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13033433010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18269338752).

13033433010 is an abundant number, since it is smaller than the sum of its proper divisors (23505244494).

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

13033433010 is a wasteful number, since it uses less digits than its factorization.

13033433010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48028.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13033433010 its sum of digits (21), we get a palindrome (13033433031).

Adding to 13033433010 its reverse (1033433031), we get a palindrome (14066866041).

The spelling of 13033433010 in words is "thirteen billion, thirty-three million, four hundred thirty-three thousand, ten".