13114441141100 has 72 divisors (see below), whose sum is σ = 30740031605808. Its totient is φ = 4827625862400.

The previous prime is 13114441141079. The next prime is 13114441141117. The reversal of 13114441141100 is 114114441131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13114441141100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14808419 + ... + 15669018.

It is an arithmetic number, because the mean of its divisors is an integer number (426944883414).

Almost surely, 2^{13114441141100} is an apocalyptic number.

13114441141100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114441141100 is an abundant number, since it is smaller than the sum of its proper divisors (17625590464708).

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

13114441141100 is a wasteful number, since it uses less digits than its factorization.

13114441141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30477795 (or 30477788 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 13114441141100 its reverse (114114441131), we get a palindrome (13228555582231).

The spelling of 13114441141100 in words is "thirteen trillion, one hundred fourteen billion, four hundred forty-one million, one hundred forty-one thousand, one hundred".