103331213111100 has 288 divisors, whose sum is σ = 332051342909440. Its totient is φ = 24648229186560.

The previous prime is 103331213111089. The next prime is 103331213111129. The reversal of 103331213111100 is 1111312133301.

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, 18872046 + ... + 23723754.

Almost surely, 2^{103331213111100} is an apocalyptic number.

103331213111100 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 103331213111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166025671454720).

103331213111100 is an abundant number, since it is smaller than the sum of its proper divisors (228720129798340).

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

103331213111100 is a wasteful number, since it uses less digits than its factorization.

103331213111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851909 (or 4851902 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 103331213111100 its reverse (1111312133301), we get a palindrome (104442525244401).

The spelling of 103331213111100 in words is "one hundred three trillion, three hundred thirty-one billion, two hundred thirteen million, one hundred eleven thousand, one hundred".