13101330332100 has 72 divisors (see below), whose sum is σ = 39129306619648. Its totient is φ = 3380988470400.

The previous prime is 13101330332093. The next prime is 13101330332107. The reversal of 13101330332100 is 123303310131.

It is an interprime number because it is at equal distance from previous prime (13101330332093) and next prime (13101330332107).

It is not an unprimeable number, because it can be changed into a prime (13101330332107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704363299 + ... + 704381898.

Almost surely, 2^{13101330332100} is an apocalyptic number.

13101330332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101330332100 is an abundant number, since it is smaller than the sum of its proper divisors (26027976287548).

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

13101330332100 is a wasteful number, since it uses less digits than its factorization.

13101330332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408745245 (or 1408745238 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13101330332100 its reverse (123303310131), we get a palindrome (13224633642231).

The spelling of 13101330332100 in words is "thirteen trillion, one hundred one billion, three hundred thirty million, three hundred thirty-two thousand, one hundred".