13132103013 has 12 divisors (see below), whose sum is σ = 19136458380. Its totient is φ = 8677259136.

The previous prime is 13132102993. The next prime is 13132103051. The reversal of 13132103013 is 31030123131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2098281249 + 11033821764 = 45807^2 + 105042^2 .

It is not a de Polignac number, because 13132103013 - 2¹⁰ = 13132101989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132103093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6455278 + ... + 6457311.

It is an arithmetic number, because the mean of its divisors is an integer number (1594704865).

Almost surely, 2^13132103013 is an apocalyptic number.

It is an amenable number.

13132103013 is a deficient number, since it is larger than the sum of its proper divisors (6004355367).

13132103013 is a wasteful number, since it uses less digits than its factorization.

13132103013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12912708 (or 12912705 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13132103013 its reverse (31030123131), we get a palindrome (44162226144).

It can be divided in two parts, 1313 and 2103013, that added together give a triangular number (2104326 = T₂₀₅₁).

The spelling of 13132103013 in words is "thirteen billion, one hundred thirty-two million, one hundred three thousand, thirteen".