203130111078720 has 784 divisors, whose sum is σ = 832385736149760. Its totient is φ = 46230383812608.

The previous prime is 203130111078707. The next prime is 203130111078721. The reversal of 203130111078720 is 27870111031302.

It is a happy number.

203130111078720 is a `hidden beast` number, since 203 + 1 + 301 + 1 + 10 + 78 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203130111078721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 380212741 + ... + 380746619.

Almost surely, 2^{203130111078720} is an apocalyptic number.

203130111078720 is a gapful number since it is divisible by the number (20) 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 203130111078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416192868074880).

203130111078720 is an abundant number, since it is smaller than the sum of its proper divisors (629255625071040).

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

203130111078720 is an equidigital number, since it uses as much as digits as its factorization.

203130111078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534154 (or 534129 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 203130111078720 in words is "two hundred three trillion, one hundred thirty billion, one hundred eleven million, seventy-eight thousand, seven hundred twenty".