103133043410100 has 288 divisors, whose sum is σ = 328437280918656. Its totient is φ = 24778898841600.

The previous prime is 103133043410063. The next prime is 103133043410119. The reversal of 103133043410100 is 1014340331301.

It is a super-3 number, since 3×103133043410100³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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, 276951232 + ... + 277323368.

It is an arithmetic number, because the mean of its divisors is an integer number (1140407225412).

Almost surely, 2^{103133043410100} is an apocalyptic number.

103133043410100 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 103133043410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164218640459328).

103133043410100 is an abundant number, since it is smaller than the sum of its proper divisors (225304237508556).

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

103133043410100 is a wasteful number, since it uses less digits than its factorization.

103133043410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372915 (or 372908 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103133043410100 its reverse (1014340331301), we get a palindrome (104147383741401).

The spelling of 103133043410100 in words is "one hundred three trillion, one hundred thirty-three billion, forty-three million, four hundred ten thousand, one hundred".