13138202016 has 72 divisors (see below), whose sum is σ = 37377911844. Its totient is φ = 4377507840.

The previous prime is 13138202009. The next prime is 13138202081. The reversal of 13138202016 is 61020283131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13042553616 + 95648400 = 114204^2 + 9780^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13138202016² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 762456 + ... + 779496.

Almost surely, 2^13138202016 is an apocalyptic number.

13138202016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13138202016 is an abundant number, since it is smaller than the sum of its proper divisors (24239709828).

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

13138202016 is a wasteful number, since it uses less digits than its factorization.

13138202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19734 (or 19723 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13138202016 its reverse (61020283131), we get a palindrome (74158485147).

The spelling of 13138202016 in words is "thirteen billion, one hundred thirty-eight million, two hundred two thousand, sixteen".