13102134100 has 216 divisors, whose sum is σ = 32217187968. Its totient is φ = 4620000000.

The previous prime is 13102134091. The next prime is 13102134103. The reversal of 13102134100 is 143120131.

13102134100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102134103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86769025 + ... + 86769175.

It is an arithmetic number, because the mean of its divisors is an integer number (149153648).

Almost surely, 2^13102134100 is an apocalyptic number.

13102134100 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 13102134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16108593984).

13102134100 is an abundant number, since it is smaller than the sum of its proper divisors (19115053868).

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

13102134100 is a wasteful number, since it uses less digits than its factorization.

13102134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13102134100 its reverse (143120131), we get a palindrome (13245254231).

The spelling of 13102134100 in words is "thirteen billion, one hundred two million, one hundred thirty-four thousand, one hundred".