13413313100 has 72 divisors (see below), whose sum is σ = 31791308976. Its totient is φ = 4871680000.

The previous prime is 13413313099. The next prime is 13413313117. The reversal of 13413313100 is 131331431.

It is a super-2 number, since 2×13413313100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 962180 + ... + 976020.

It is an arithmetic number, because the mean of its divisors is an integer number (441545958).

Almost surely, 2^13413313100 is an apocalyptic number.

13413313100 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 13413313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895654488).

13413313100 is an abundant number, since it is smaller than the sum of its proper divisors (18377995876).

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

13413313100 is a wasteful number, since it uses less digits than its factorization.

13413313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14747 (or 14740 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13413313100 its reverse (131331431), we get a palindrome (13544644531).

It can be divided in two parts, 1341331 and 3100, that added together give a palindrome (1344431).

The spelling of 13413313100 in words is "thirteen billion, four hundred thirteen million, three hundred thirteen thousand, one hundred".