13140001410100 has 72 divisors (see below), whose sum is σ = 29503212845400. Its totient is φ = 5073696768000.

The previous prime is 13140001410023. The next prime is 13140001410119. The reversal of 13140001410100 is 101410004131.

It can be written as a sum of positive squares in 12 ways, for example, as 551101339044 + 12588900071056 = 742362^2 + 3548084^2 .

It is a congruent number.

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, 13451016 + ... + 14394784.

It is an arithmetic number, because the mean of its divisors is an integer number (409766845075).

Almost surely, 2^{13140001410100} is an apocalyptic number.

13140001410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13140001410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14751606422700).

13140001410100 is an abundant number, since it is smaller than the sum of its proper divisors (16363211435300).

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

13140001410100 is a wasteful number, since it uses less digits than its factorization.

13140001410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948613 (or 948606 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13140001410100 its reverse (101410004131), we get a palindrome (13241411414231).

The spelling of 13140001410100 in words is "thirteen trillion, one hundred forty billion, one million, four hundred ten thousand, one hundred".