13114413414100 has 36 divisors (see below), whose sum is σ = 28464821689500. Its totient is φ = 5244558991360.

The previous prime is 13114413414083. The next prime is 13114413414103. The reversal of 13114413414100 is 141431441131.

It can be written as a sum of positive squares in 6 ways, for example, as 224101879236 + 12890311534864 = 473394^2 + 3590308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114413414103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14642605 + ... + 15512404.

It is an arithmetic number, because the mean of its divisors is an integer number (790689491375).

Almost surely, 2^{13114413414100} is an apocalyptic number.

13114413414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114413414100 is an abundant number, since it is smaller than the sum of its proper divisors (15350408275400).

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

13114413414100 is a wasteful number, since it uses less digits than its factorization.

13114413414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30159372 (or 30159365 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 13114413414100 its reverse (141431441131), we get a palindrome (13255844855231).

The spelling of 13114413414100 in words is "thirteen trillion, one hundred fourteen billion, four hundred thirteen million, four hundred fourteen thousand, one hundred".