13101344020100 has 144 divisors (see below), whose sum is σ = 35241676888320. Its totient is φ = 4124546764800.

The previous prime is 13101344019949. The next prime is 13101344020111. The reversal of 13101344020100 is 102044310131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12938360 + ... + 13914159.

It is an arithmetic number, because the mean of its divisors is an integer number (244733867280).

Almost surely, 2^{13101344020100} is an apocalyptic number.

13101344020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101344020100 is an abundant number, since it is smaller than the sum of its proper divisors (22140332868220).

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

13101344020100 is a wasteful number, since it uses less digits than its factorization.

13101344020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26852598 (or 26852591 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13101344020100 its reverse (102044310131), we get a palindrome (13203388330231).

The spelling of 13101344020100 in words is "thirteen trillion, one hundred one billion, three hundred forty-four million, twenty thousand, one hundred".