13123020230100 has 576 divisors, whose sum is σ = 46352133273600. Its totient is φ = 3158694144000.

The previous prime is 13123020230071. The next prime is 13123020230107. The reversal of 13123020230100 is 103202032131.

13123020230100 is a `hidden beast` number, since 1 + 31 + 2 + 302 + 0 + 230 + 100 = 666.

It is a super-2 number, since 2×13123020230100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123020230107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2569611747 + ... + 2569616853.

It is an arithmetic number, because the mean of its divisors is an integer number (80472453600).

Almost surely, 2^{13123020230100} is an apocalyptic number.

13123020230100 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 13123020230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23176066636800).

13123020230100 is an abundant number, since it is smaller than the sum of its proper divisors (33229113043500).

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

13123020230100 is a wasteful number, since it uses less digits than its factorization.

13123020230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13123020230100 its reverse (103202032131), we get a palindrome (13226222262231).

The spelling of 13123020230100 in words is "thirteen trillion, one hundred twenty-three billion, twenty million, two hundred thirty thousand, one hundred".