1003112003322 has 192 divisors, whose sum is σ = 2570717036160. Its totient is φ = 278691840000.

The previous prime is 1003112003281. The next prime is 1003112003437. The reversal of 1003112003322 is 2233002113001.

1003112003322 is a `hidden beast` number, since 1 + 0 + 0 + 311 + 20 + 0 + 332 + 2 = 666.

It is a super-2 number, since 2×1003112003322² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1003112003295 and 1003112003304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250713322 + ... + 250717322.

It is an arithmetic number, because the mean of its divisors is an integer number (13389151230).

Almost surely, 2^{1003112003322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003112003322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285358518080).

1003112003322 is an abundant number, since it is smaller than the sum of its proper divisors (1567605032838).

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

1003112003322 is a wasteful number, since it uses less digits than its factorization.

1003112003322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1003112003322 its reverse (2233002113001), we get a palindrome (3236114116323).

The spelling of 1003112003322 in words is "one trillion, three billion, one hundred twelve million, three thousand, three hundred twenty-two".