103331312132100 has 288 divisors, whose sum is σ = 323865351290880. Its totient is φ = 25285969359360.

The previous prime is 103331312132099. The next prime is 103331312132117. The reversal of 103331312132100 is 1231213133301.

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, 625231677 + ... + 625396923.

It is an arithmetic number, because the mean of its divisors is an integer number (1124532469760).

Almost surely, 2^{103331312132100} is an apocalyptic number.

103331312132100 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 103331312132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161932675645440).

103331312132100 is an abundant number, since it is smaller than the sum of its proper divisors (220534039158780).

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

103331312132100 is a wasteful number, since it uses less digits than its factorization.

103331312132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166219 (or 166212 counting only the distinct ones).

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

Adding to 103331312132100 its reverse (1231213133301), we get a palindrome (104562525265401).

The spelling of 103331312132100 in words is "one hundred three trillion, three hundred thirty-one billion, three hundred twelve million, one hundred thirty-two thousand, one hundred".