103113311200 has 144 divisors (see below), whose sum is σ = 253493525376. Its totient is φ = 40956723200.

The previous prime is 103113311179. The next prime is 103113311221. The reversal of 103113311200 is 2113311301.

It is an interprime number because it is at equal distance from previous prime (103113311179) and next prime (103113311221).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119481969 + ... + 119482831.

It is an arithmetic number, because the mean of its divisors is an integer number (1760371704).

Almost surely, 2^103113311200 is an apocalyptic number.

103113311200 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 103113311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126746762688).

103113311200 is an abundant number, since it is smaller than the sum of its proper divisors (150380214176).

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

103113311200 is a wasteful number, since it uses less digits than its factorization.

103113311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 103113311200 its reverse (2113311301), we get a palindrome (105226622501).

The spelling of 103113311200 in words is "one hundred three billion, one hundred thirteen million, three hundred eleven thousand, two hundred".