103311123323100 has 216 divisors, whose sum is σ = 379326244566528. Its totient is φ = 21467246371200.

The previous prime is 103311123323063. The next prime is 103311123323113. The reversal of 103311123323100 is 1323321113301.

It is a super-2 number, since 2×103311123323100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 319291372 + ... + 319614771.

Almost surely, 2^{103311123323100} is an apocalyptic number.

103311123323100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103311123323100 is an abundant number, since it is smaller than the sum of its proper divisors (276015121243428).

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

103311123323100 is a wasteful number, since it uses less digits than its factorization.

103311123323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638906185 (or 638906171 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 103311123323100 its reverse (1323321113301), we get a palindrome (104634444436401).

The spelling of 103311123323100 in words is "one hundred three trillion, three hundred eleven billion, one hundred twenty-three million, three hundred twenty-three thousand, one hundred".