1003223123310 has 128 divisors (see below), whose sum is σ = 2466870681600. Its totient is φ = 261034744320.

The previous prime is 1003223123297. The next prime is 1003223123333. The reversal of 1003223123310 is 133213223001.

It is a super-2 number, since 2×1003223123310² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117648267 + ... + 117656793.

It is an arithmetic number, because the mean of its divisors is an integer number (19272427200).

Almost surely, 2^{1003223123310} is an apocalyptic number.

1003223123310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003223123310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233435340800).

1003223123310 is an abundant number, since it is smaller than the sum of its proper divisors (1463647558290).

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

1003223123310 is a wasteful number, since it uses less digits than its factorization.

1003223123310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9106.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1003223123310 its reverse (133213223001), we get a palindrome (1136436346311).

The spelling of 1003223123310 in words is "one trillion, three billion, two hundred twenty-three million, one hundred twenty-three thousand, three hundred ten".