1000221313331 has 16 divisors (see below), whose sum is σ = 1068729523488. Its totient is φ = 932809113600.

The previous prime is 1000221313327. The next prime is 1000221313379. The reversal of 1000221313331 is 1333131220001.

It is a cyclic number.

It is not a de Polignac number, because 1000221313331 - 2² = 1000221313327 is a prime.

It is a super-2 number, since 2×1000221313331² (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 (1000221313031) 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 15 ways as a sum of consecutive naturals, for example, 1165091 + ... + 1832451.

It is an arithmetic number, because the mean of its divisors is an integer number (66795595218).

Almost surely, 2^{1000221313331} is an apocalyptic number.

1000221313331 is a deficient number, since it is larger than the sum of its proper divisors (68508210157).

1000221313331 is a wasteful number, since it uses less digits than its factorization.

1000221313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668182.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1000221313331 its reverse (1333131220001), we get a palindrome (2333352533332).

The spelling of 1000221313331 in words is "one trillion, two hundred twenty-one million, three hundred thirteen thousand, three hundred thirty-one".