1005501311321 has 8 divisors (see below), whose sum is σ = 1082857676544. Its totient is φ = 928146390480.

The previous prime is 1005501311317. The next prime is 1005501311323. The reversal of 1005501311321 is 1231131055001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005501311321 - 2² = 1005501311317 is a prime.

It is a super-2 number, since 2×1005501311321² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005501311323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1404536 + ... + 1995926.

It is an arithmetic number, because the mean of its divisors is an integer number (135357209568).

Almost surely, 2^{1005501311321} is an apocalyptic number.

It is an amenable number.

1005501311321 is a deficient number, since it is larger than the sum of its proper divisors (77356365223).

1005501311321 is a wasteful number, since it uses less digits than its factorization.

1005501311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722191.

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 1005501311321 its reverse (1231131055001), we get a palindrome (2236632366322).

The spelling of 1005501311321 in words is "one trillion, five billion, five hundred one million, three hundred eleven thousand, three hundred twenty-one".