13107504900 has 576 divisors, whose sum is σ = 47996928000. Its totient is φ = 2750146560.

The previous prime is 13107504899. The next prime is 13107504913. The reversal of 13107504900 is 940570131.

It is a super-4 number, since 4×13107504900⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103208637 + ... + 103208763.

It is an arithmetic number, because the mean of its divisors is an integer number (83328000).

Almost surely, 2^13107504900 is an apocalyptic number.

13107504900 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 13107504900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464000).

13107504900 is an abundant number, since it is smaller than the sum of its proper divisors (34889423100).

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

13107504900 is a wasteful number, since it uses less digits than its factorization.

13107504900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 13107504900 in words is "thirteen billion, one hundred seven million, five hundred four thousand, nine hundred".