10013434444013 has 64 divisors (see below), whose sum is σ = 14356872069120. Its totient is φ = 6729782572800.

The previous prime is 10013434443983. The next prime is 10013434444049. The reversal of 10013434444013 is 31044443431001.

It is not a de Polignac number, because 10013434444013 - 2²² = 10013430249709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013434444093) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4663745 + ... + 6463542.

It is an arithmetic number, because the mean of its divisors is an integer number (224326126080).

Almost surely, 2^{10013434444013} is an apocalyptic number.

10013434444013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10013434444013 is a deficient number, since it is larger than the sum of its proper divisors (4343437625107).

10013434444013 is a wasteful number, since it uses less digits than its factorization.

10013434444013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11127378.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 10013434444013 its reverse (31044443431001), we get a palindrome (41057877875014).

The spelling of 10013434444013 in words is "ten trillion, thirteen billion, four hundred thirty-four million, four hundred forty-four thousand, thirteen".