13001172642 has 48 divisors (see below), whose sum is σ = 29182491000. Its totient is φ = 4178264832.

The previous prime is 13001172641. The next prime is 13001172643. The reversal of 13001172642 is 24627110031.

13001172642 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 1 + 17 + 2 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (13001172641) and next prime (13001172643).

It can be written as a sum of positive squares in 4 ways, for example, as 5610159801 + 7391012841 = 74901^2 + 85971^2 .

It is not an unprimeable number, because it can be changed into a prime (13001172641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352534 + ... + 387662.

Almost surely, 2^13001172642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13001172642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14591245500).

13001172642 is an abundant number, since it is smaller than the sum of its proper divisors (16181318358).

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

13001172642 is a wasteful number, since it uses less digits than its factorization.

13001172642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35875 (or 35872 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 13001172642 its reverse (24627110031), we get a palindrome (37628282673).

The spelling of 13001172642 in words is "thirteen billion, one million, one hundred seventy-two thousand, six hundred forty-two".