13772837013 has 16 divisors (see below), whose sum is σ = 19893410880. Its totient is φ = 8475587952.

The previous prime is 13772837003. The next prime is 13772837017. The reversal of 13772837013 is 31073827731.

13772837013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13772837013 - 2⁵ = 13772836981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13772837017) 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 15 ways as a sum of consecutive naturals, for example, 1038231 + ... + 1051412.

It is an arithmetic number, because the mean of its divisors is an integer number (1243338180).

Almost surely, 2^13772837013 is an apocalyptic number.

13772837013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13772837013 is a deficient number, since it is larger than the sum of its proper divisors (6120573867).

13772837013 is an equidigital number, since it uses as much as digits as its factorization.

13772837013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089685 (or 2089659 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 13772837013 in words is "thirteen billion, seven hundred seventy-two million, eight hundred thirty-seven thousand, thirteen".