103133312100 has 288 divisors, whose sum is σ = 408068048640. Its totient is φ = 21759943680.

The previous prime is 103133312099. The next prime is 103133312167. The reversal of 103133312100 is 1213331301.

It is a happy number.

103133312100 is a `hidden beast` number, since 1 + 0 + 313 + 331 + 21 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35824 + ... + 455576.

Almost surely, 2^103133312100 is an apocalyptic number.

103133312100 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 103133312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204034024320).

103133312100 is an abundant number, since it is smaller than the sum of its proper divisors (304934736540).

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

103133312100 is a wasteful number, since it uses less digits than its factorization.

103133312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419796 (or 419783 counting only the distinct ones).

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

Adding to 103133312100 its reverse (1213331301), we get a palindrome (104346643401).

The spelling of 103133312100 in words is "one hundred three billion, one hundred thirty-three million, three hundred twelve thousand, one hundred".