13387007538 has 64 divisors (see below), whose sum is σ = 31425811200. Its totient is φ = 4268289168.

The previous prime is 13387007537. The next prime is 13387007563. The reversal of 13387007538 is 83570078331.

13387007538 is a `hidden beast` number, since 1 + 33 + 87 + 0 + 0 + 7 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13387007493 and 13387007502.

It is not an unprimeable number, because it can be changed into a prime (13387007533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34068 + ... + 167136.

It is an arithmetic number, because the mean of its divisors is an integer number (491028300).

Almost surely, 2^13387007538 is an apocalyptic number.

13387007538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13387007538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15712905600).

13387007538 is an abundant number, since it is smaller than the sum of its proper divisors (18038803662).

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

13387007538 is an equidigital number, since it uses as much as digits as its factorization.

13387007538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133115 (or 133097 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13387007538 in words is "thirteen billion, three hundred eighty-seven million, seven thousand, five hundred thirty-eight".