13114230100 has 72 divisors (see below), whose sum is σ = 30470784120. Its totient is φ = 4881592320.

The previous prime is 13114230067. The next prime is 13114230109. The reversal of 13114230100 is 103241131.

It can be written as a sum of positive squares in 12 ways, for example, as 2850919236 + 10263310864 = 53394^2 + 101308^2 .

It is a super-2 number, since 2×13114230100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114230109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107962 + ... + 194638.

It is an arithmetic number, because the mean of its divisors is an integer number (423205335).

Almost surely, 2^13114230100 is an apocalyptic number.

13114230100 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 13114230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15235392060).

13114230100 is an abundant number, since it is smaller than the sum of its proper divisors (17356554020).

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

13114230100 is a wasteful number, since it uses less digits than its factorization.

13114230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86797 (or 86790 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13114230100 its reverse (103241131), we get a palindrome (13217471231).

The spelling of 13114230100 in words is "thirteen billion, one hundred fourteen million, two hundred thirty thousand, one hundred".