13132100302113 has 16 divisors (see below), whose sum is σ = 18856439259840. Its totient is φ = 8081253875904.

The previous prime is 13132100302109. The next prime is 13132100302117. The reversal of 13132100302113 is 31120300123131.

It is a happy number.

13132100302113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13132100302109) and next prime (13132100302117).

It is not a de Polignac number, because 13132100302113 - 2² = 13132100302109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13132100302113.

It is not an unprimeable number, because it can be changed into a prime (13132100302117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8962195 + ... + 10324007.

It is an arithmetic number, because the mean of its divisors is an integer number (1178527453740).

Almost surely, 2^{13132100302113} is an apocalyptic number.

13132100302113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13132100302113 is a deficient number, since it is larger than the sum of its proper divisors (5724338957727).

13132100302113 is a wasteful number, since it uses less digits than its factorization.

13132100302113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609088.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13132100302113 its reverse (31120300123131), we get a palindrome (44252400425244).

The spelling of 13132100302113 in words is "thirteen trillion, one hundred thirty-two billion, one hundred million, three hundred two thousand, one hundred thirteen".