1005221310041 has 12 divisors (see below), whose sum is σ = 1145783247120. Its totient is φ = 879059928240.

The previous prime is 1005221310019. The next prime is 1005221310059. The reversal of 1005221310041 is 1400131225001.

It is not a de Polignac number, because 1005221310041 - 2³⁰ = 1004147568217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005221309995 and 1005221310022.

It is not an unprimeable number, because it can be changed into a prime (1005221310011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156524555 + ... + 156530976.

It is an arithmetic number, because the mean of its divisors is an integer number (95481937260).

Almost surely, 2^{1005221310041} is an apocalyptic number.

It is an amenable number.

1005221310041 is a deficient number, since it is larger than the sum of its proper divisors (140561937079).

1005221310041 is a wasteful number, since it uses less digits than its factorization.

1005221310041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313055576 (or 313055563 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 1005221310041 its reverse (1400131225001), we get a palindrome (2405352535042).

The spelling of 1005221310041 in words is "one trillion, five billion, two hundred twenty-one million, three hundred ten thousand, forty-one".