103133123100 has 576 divisors, whose sum is σ = 403474176000. Its totient is φ = 22061445120.

The previous prime is 103133123063. The next prime is 103133123101. The reversal of 103133123100 is 1321331301.

It is a happy number.

103133123100 is a `hidden beast` number, since 10 + 31 + 3 + 312 + 310 + 0 = 666.

It is a super-2 number, since 2×103133123100² (a number of 23 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 (103133123101) 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, 63937894 + ... + 63939506.

It is an arithmetic number, because the mean of its divisors is an integer number (700476000).

Almost surely, 2^103133123100 is an apocalyptic number.

103133123100 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 103133123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201737088000).

103133123100 is an abundant number, since it is smaller than the sum of its proper divisors (300341052900).

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

103133123100 is a wasteful number, since it uses less digits than its factorization.

103133123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1846 counting only the distinct ones).

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

Adding to 103133123100 its reverse (1321331301), we get a palindrome (104454454401).

The spelling of 103133123100 in words is "one hundred three billion, one hundred thirty-three million, one hundred twenty-three thousand, one hundred".