13413610013100 has 216 divisors, whose sum is σ = 42733750323264. Its totient is φ = 3246084336000.

The previous prime is 13413610013099. The next prime is 13413610013101. The reversal of 13413610013100 is 131001631431.

It is an interprime number because it is at equal distance from previous prime (13413610013099) and next prime (13413610013101).

It is a super-2 number, since 2×13413610013100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13413610013101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20403727 + ... + 21050873.

Almost surely, 2^{13413610013100} is an apocalyptic number.

13413610013100 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 13413610013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21366875161632).

13413610013100 is an abundant number, since it is smaller than the sum of its proper divisors (29320140310164).

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

13413610013100 is a wasteful number, since it uses less digits than its factorization.

13413610013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647757 (or 647739 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13413610013100 its reverse (131001631431), we get a palindrome (13544611644531).

The spelling of 13413610013100 in words is "thirteen trillion, four hundred thirteen billion, six hundred ten million, thirteen thousand, one hundred".