103013011200 has 864 divisors, whose sum is σ = 389612563200. Its totient is φ = 23938252800.

The previous prime is 103013011183. The next prime is 103013011201. The reversal of 103013011200 is 2110310301.

It is a super-2 number, since 2×103013011200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 741100731 + ... + 741100869.

Almost surely, 2^103013011200 is an apocalyptic number.

103013011200 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 103013011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194806281600).

103013011200 is an abundant number, since it is smaller than the sum of its proper divisors (286599552000).

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

103013011200 is a wasteful number, since it uses less digits than its factorization.

103013011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103013011200 its reverse (2110310301), we get a palindrome (105123321501).

The spelling of 103013011200 in words is "one hundred three billion, thirteen million, eleven thousand, two hundred".