1003223314100 has 144 divisors (see below), whose sum is σ = 2550141363840. Its totient is φ = 335472192000.

The previous prime is 1003223314099. The next prime is 1003223314109. The reversal of 1003223314100 is 14133223001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003223314109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4631006 + ... + 4842794.

Almost surely, 2^{1003223314100} is an apocalyptic number.

1003223314100 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 1003223314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275070681920).

1003223314100 is an abundant number, since it is smaller than the sum of its proper divisors (1546918049740).

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

1003223314100 is a wasteful number, since it uses less digits than its factorization.

1003223314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211978 (or 211971 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1003223314100 its reverse (14133223001), we get a palindrome (1017356537101).

The spelling of 1003223314100 in words is "one trillion, three billion, two hundred twenty-three million, three hundred fourteen thousand, one hundred".