1000441322331 has 64 divisors (see below), whose sum is σ = 1523042196480. Its totient is φ = 578217728000.

The previous prime is 1000441322317. The next prime is 1000441322347. The reversal of 1000441322331 is 1332231440001.

It is a happy number.

It is not a de Polignac number, because 1000441322331 - 2⁶ = 1000441322267 is a prime.

It is a super-2 number, since 2×1000441322331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000441322381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467276521 + ... + 467278661.

It is an arithmetic number, because the mean of its divisors is an integer number (23797534320).

Almost surely, 2^{1000441322331} is an apocalyptic number.

1000441322331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000441322331 is a deficient number, since it is larger than the sum of its proper divisors (522600874149).

1000441322331 is a wasteful number, since it uses less digits than its factorization.

1000441322331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1000441322331 its reverse (1332231440001), we get a palindrome (2332672762332).

The spelling of 1000441322331 in words is "one trillion, four hundred forty-one million, three hundred twenty-two thousand, three hundred thirty-one".