103001113132200 has 144 divisors (see below), whose sum is σ = 357840074252700. Its totient is φ = 26519826816000.

The previous prime is 103001113132189. The next prime is 103001113132273. The reversal of 103001113132200 is 2231311100301.

103001113132200 is a `hidden beast` number, since 1 + 0 + 300 + 1 + 1 + 131 + 32 + 200 = 666.

103001113132200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 32316973779204 + 70684139352996 = 5684802^2 + 8407386^2 .

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 35 ways as a sum of consecutive naturals, for example, 986548501 + ... + 986652900.

Almost surely, 2^{103001113132200} is an apocalyptic number.

103001113132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103001113132200 is an abundant number, since it is smaller than the sum of its proper divisors (254838961120500).

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

103001113132200 is a wasteful number, since it uses less digits than its factorization.

103001113132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973201452 (or 1973201440 counting only the distinct ones).

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

Adding to 103001113132200 its reverse (2231311100301), we get a palindrome (105232424232501).

The spelling of 103001113132200 in words is "one hundred three trillion, one billion, one hundred thirteen million, one hundred thirty-two thousand, two hundred".