13331402100 has 54 divisors (see below), whose sum is σ = 41786542070. Its totient is φ = 3555040320.

The previous prime is 13331402093. The next prime is 13331402111. The reversal of 13331402100 is 120413331.

13331402100 is a `hidden beast` number, since 133 + 31 + 402 + 100 = 666.

13331402100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 746600976 + 12584801124 = 27324^2 + 112182^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 7405435 + ... + 7407234.

Almost surely, 2^13331402100 is an apocalyptic number.

13331402100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331402100 is an abundant number, since it is smaller than the sum of its proper divisors (28455139970).

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

13331402100 is a wasteful number, since it uses less digits than its factorization.

13331402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14812689 (or 14812679 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13331402100 its reverse (120413331), we get a palindrome (13451815431).

The spelling of 13331402100 in words is "thirteen billion, three hundred thirty-one million, four hundred two thousand, one hundred".