13505420100 has 72 divisors (see below), whose sum is σ = 39090310560. Its totient is φ = 3600097280.

The previous prime is 13505420087. The next prime is 13505420101. The reversal of 13505420100 is 102450531.

13505420100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13505420101) 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 23 ways as a sum of consecutive naturals, for example, 991939 + ... + 1005461.

It is an arithmetic number, because the mean of its divisors is an integer number (542920980).

Almost surely, 2^13505420100 is an apocalyptic number.

13505420100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13505420100 is an abundant number, since it is smaller than the sum of its proper divisors (25584890460).

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

13505420100 is a wasteful number, since it uses less digits than its factorization.

13505420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16869 (or 16862 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 13505420100 its reverse (102450531), we get a palindrome (13607870631).

The spelling of 13505420100 in words is "thirteen billion, five hundred five million, four hundred twenty thousand, one hundred".