13302414104100 has 288 divisors, whose sum is σ = 44464234856832. Its totient is φ = 3034644480000.

The previous prime is 13302414104069. The next prime is 13302414104107. The reversal of 13302414104100 is 140141420331.

It is not an unprimeable number, because it can be changed into a prime (13302414104107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 439864980 + ... + 439895220.

It is an arithmetic number, because the mean of its divisors is an integer number (154389704364).

Almost surely, 2^{13302414104100} is an apocalyptic number.

13302414104100 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 13302414104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22232117428416).

13302414104100 is an abundant number, since it is smaller than the sum of its proper divisors (31161820752732).

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

13302414104100 is a wasteful number, since it uses less digits than its factorization.

13302414104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38127 (or 38120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13302414104100 its reverse (140141420331), we get a palindrome (13442555524431).

The spelling of 13302414104100 in words is "thirteen trillion, three hundred two billion, four hundred fourteen million, one hundred four thousand, one hundred".