13413322104 has 256 divisors, whose sum is σ = 42481152000. Its totient is φ = 3435153408.

The previous prime is 13413322093. The next prime is 13413322189. The reversal of 13413322104 is 40122331431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15294114 + ... + 15294990.

It is an arithmetic number, because the mean of its divisors is an integer number (165942000).

Almost surely, 2^13413322104 is an apocalyptic number.

13413322104 is a gapful number since it is divisible by the number (14) 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 13413322104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21240576000).

13413322104 is an abundant number, since it is smaller than the sum of its proper divisors (29067829896).

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

13413322104 is a wasteful number, since it uses less digits than its factorization.

13413322104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13413322104 its reverse (40122331431), we get a palindrome (53535653535).

The spelling of 13413322104 in words is "thirteen billion, four hundred thirteen million, three hundred twenty-two thousand, one hundred four".