103111332001200 has 180 divisors, whose sum is σ = 357832695111528. Its totient is φ = 27495761126400.

The previous prime is 103111332001177. The next prime is 103111332001207. The reversal of 103111332001200 is 2100233111301.

103111332001200 is a `hidden beast` number, since 1 + 0 + 31 + 113 + 320 + 0 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (103111332001207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181108980 + ... + 181677420.

Almost surely, 2^{103111332001200} is an apocalyptic number.

103111332001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103111332001200 is an abundant number, since it is smaller than the sum of its proper divisors (254721363110328).

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

103111332001200 is a wasteful number, since it uses less digits than its factorization.

103111332001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618852 (or 618838 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103111332001200 its reverse (2100233111301), we get a palindrome (105211565112501).

The spelling of 103111332001200 in words is "one hundred three trillion, one hundred eleven billion, three hundred thirty-two million, one thousand, two hundred".