13010433444 has 72 divisors (see below), whose sum is σ = 34045535160. Its totient is φ = 4184312832.

The previous prime is 13010433433. The next prime is 13010433511. The reversal of 13010433444 is 44433401031.

It can be written as a sum of positive squares in 4 ways, for example, as 4106246400 + 8904187044 = 64080^2 + 94362^2 .

It is a super-2 number, since 2×13010433444² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1851682 + ... + 1858694.

It is an arithmetic number, because the mean of its divisors is an integer number (472854655).

Almost surely, 2^13010433444 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 13010433444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17022767580).

13010433444 is an abundant number, since it is smaller than the sum of its proper divisors (21035101716).

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

13010433444 is a wasteful number, since it uses less digits than its factorization.

13010433444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8829 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13010433444 its reverse (44433401031), we get a palindrome (57443834475).

The spelling of 13010433444 in words is "thirteen billion, ten million, four hundred thirty-three thousand, four hundred forty-four".