13331010100 has 72 divisors (see below), whose sum is σ = 29413429920. Its totient is φ = 5243272320.

The previous prime is 13331010097. The next prime is 13331010101. The reversal of 13331010100 is 101013331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331010101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4534431 + ... + 4537369.

It is an arithmetic number, because the mean of its divisors is an integer number (408519860).

Almost surely, 2^13331010100 is an apocalyptic number.

13331010100 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 13331010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14706714960).

13331010100 is an abundant number, since it is smaller than the sum of its proper divisors (16082419820).

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

13331010100 is a wasteful number, since it uses less digits than its factorization.

13331010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 13331010100 its reverse (101013331), we get a palindrome (13432023431).

The spelling of 13331010100 in words is "thirteen billion, three hundred thirty-one million, ten thousand, one hundred".