13413334800 has 120 divisors (see below), whose sum is σ = 43001997696. Its totient is φ = 3574008320.

The previous prime is 13413334793. The next prime is 13413334801. The reversal of 13413334800 is 843331431.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (13413334801) 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, 1780642 + ... + 1788158.

Almost surely, 2^13413334800 is an apocalyptic number.

13413334800 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 13413334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21500998848).

13413334800 is an abundant number, since it is smaller than the sum of its proper divisors (29588662896).

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

13413334800 is a wasteful number, since it uses less digits than its factorization.

13413334800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9025 (or 9014 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 13413334800 in words is "thirteen billion, four hundred thirteen million, three hundred thirty-four thousand, eight hundred".