13001343130100 has 72 divisors (see below), whose sum is σ = 31430833323960. Its totient is φ = 4634961569280.

The previous prime is 13001343130057. The next prime is 13001343130103. The reversal of 13001343130100 is 103134310031.

It can be written as a sum of positive squares in 12 ways, for example, as 6365185876624 + 6636157253476 = 2522932^2 + 2576074^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001343130103) 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, 172393907 + ... + 172469306.

Almost surely, 2^{13001343130100} is an apocalyptic number.

13001343130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001343130100 is an abundant number, since it is smaller than the sum of its proper divisors (18429490193860).

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

13001343130100 is a wasteful number, since it uses less digits than its factorization.

13001343130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344863269 (or 344863262 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13001343130100 its reverse (103134310031), we get a palindrome (13104477440131).

The spelling of 13001343130100 in words is "thirteen trillion, one billion, three hundred forty-three million, one hundred thirty thousand, one hundred".