103111011313200 has 720 divisors, whose sum is σ = 407550066483456. Its totient is φ = 23896599091200.

The previous prime is 103111011313183. The next prime is 103111011313213. The reversal of 103111011313200 is 2313110111301.

103111011313200 is a `hidden beast` number, since 1 + 0 + 31 + 110 + 11 + 313 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1700433282 + ... + 1700493918.

Almost surely, 2^{103111011313200} is an apocalyptic number.

103111011313200 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 103111011313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203775033241728).

103111011313200 is an abundant number, since it is smaller than the sum of its proper divisors (304439055170256).

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

103111011313200 is a wasteful number, since it uses less digits than its factorization.

103111011313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62562 (or 62548 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 103111011313200 its reverse (2313110111301), we get a palindrome (105424121424501).

The spelling of 103111011313200 in words is "one hundred three trillion, one hundred eleven billion, eleven million, three hundred thirteen thousand, two hundred".