1003221505134 has 128 divisors (see below), whose sum is σ = 2280814018560. Its totient is φ = 326787400800.

The previous prime is 1003221505123. The next prime is 1003221505141. The reversal of 1003221505134 is 4315051223001.

1003221505134 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 2 + 21 + 505 + 134 = 666.

1003221505134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1003221505098 and 1003221505107.

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, 245224429 + ... + 245228519.

It is an arithmetic number, because the mean of its divisors is an integer number (17818859520).

Almost surely, 2^{1003221505134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003221505134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140407009280).

1003221505134 is an abundant number, since it is smaller than the sum of its proper divisors (1277592513426).

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

1003221505134 is a wasteful number, since it uses less digits than its factorization.

1003221505134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1003221505134 its reverse (4315051223001), we get a palindrome (5318272728135).

The spelling of 1003221505134 in words is "one trillion, three billion, two hundred twenty-one million, five hundred five thousand, one hundred thirty-four".