13003642132 has 72 divisors (see below), whose sum is σ = 25236058680. Its totient is φ = 5858611200.

The previous prime is 13003642129. The next prime is 13003642133. The reversal of 13003642132 is 23124630031.

It can be written as a sum of positive squares in 12 ways, for example, as 2624922756 + 10378719376 = 51234^2 + 101876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13003642097 and 13003642106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003642133) 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, 4982844 + ... + 4985452.

It is an arithmetic number, because the mean of its divisors is an integer number (350500815).

Almost surely, 2^13003642132 is an apocalyptic number.

It is an amenable number.

13003642132 is a deficient number, since it is larger than the sum of its proper divisors (12232416548).

13003642132 is a wasteful number, since it uses less digits than its factorization.

13003642132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The spelling of 13003642132 in words is "thirteen billion, three million, six hundred forty-two thousand, one hundred thirty-two".