13100134344010 has 96 divisors (see below), whose sum is σ = 28185436097280. Its totient is φ = 4368664315008.

The previous prime is 13100134343987. The next prime is 13100134344019. The reversal of 13100134344010 is 1044343100131.

It is a happy number.

It is a super-2 number, since 2×13100134344010² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13100134344019) 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 47 ways as a sum of consecutive naturals, for example, 3735012 + ... + 6336448.

It is an arithmetic number, because the mean of its divisors is an integer number (293598292680).

Almost surely, 2^{13100134344010} is an apocalyptic number.

13100134344010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13100134344010 is an abundant number, since it is smaller than the sum of its proper divisors (15085301753270).

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

13100134344010 is a wasteful number, since it uses less digits than its factorization.

13100134344010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601740 (or 2601733 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13100134344010 its reverse (1044343100131), we get a palindrome (14144477444141).

The spelling of 13100134344010 in words is "thirteen trillion, one hundred billion, one hundred thirty-four million, three hundred forty-four thousand, ten".