103133123303100 has 288 divisors, whose sum is σ = 326239371843840. Its totient is φ = 24947188992000.

The previous prime is 103133123303071. The next prime is 103133123303107. The reversal of 103133123303100 is 1303321331301.

It is a super-2 number, since 2×103133123303100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103133123303107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5070198930 + ... + 5070219270.

It is an arithmetic number, because the mean of its divisors is an integer number (1132775596680).

Almost surely, 2^{103133123303100} is an apocalyptic number.

103133123303100 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 103133123303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163119685921920).

103133123303100 is an abundant number, since it is smaller than the sum of its proper divisors (223106248540740).

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

103133123303100 is a wasteful number, since it uses less digits than its factorization.

103133123303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23661 (or 23654 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 103133123303100 its reverse (1303321331301), we get a palindrome (104436444634401).

The spelling of 103133123303100 in words is "one hundred three trillion, one hundred thirty-three billion, one hundred twenty-three million, three hundred three thousand, one hundred".