13113223223100 has 576 divisors, whose sum is σ = 51048572682240. Its totient is φ = 2509945113600.

The previous prime is 13113223223081. The next prime is 13113223223173. The reversal of 13113223223100 is 132232231131.

13113223223100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13113223223100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143798119 + ... + 143889281.

It is an arithmetic number, because the mean of its divisors is an integer number (88625994240).

Almost surely, 2^{13113223223100} is an apocalyptic number.

13113223223100 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 13113223223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25524286341120).

13113223223100 is an abundant number, since it is smaller than the sum of its proper divisors (37935349459140).

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

13113223223100 is a wasteful number, since it uses less digits than its factorization.

13113223223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91690 (or 91683 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13113223223100 its reverse (132232231131), we get a palindrome (13245455454231).

The spelling of 13113223223100 in words is "thirteen trillion, one hundred thirteen billion, two hundred twenty-three million, two hundred twenty-three thousand, one hundred".