13123133100 has 432 divisors, whose sum is σ = 51520035840. Its totient is φ = 2714342400.

The previous prime is 13123133083. The next prime is 13123133117. The reversal of 13123133100 is 133132131.

It is a happy number.

13123133100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13123133083) and next prime (13123133117).

It is a super-2 number, since 2×13123133100² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28343469 + ... + 28343931.

Almost surely, 2^13123133100 is an apocalyptic number.

13123133100 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 13123133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25760017920).

13123133100 is an abundant number, since it is smaller than the sum of its proper divisors (38396902740).

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

13123133100 is a wasteful number, since it uses less digits than its factorization.

13123133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13123133100 its reverse (133132131), we get a palindrome (13256265231).

The spelling of 13123133100 in words is "thirteen billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred".