1001221102313 has 4 divisors (see below), whose sum is σ = 1035745967940. Its totient is φ = 966696236688.

The previous prime is 1001221102249. The next prime is 1001221102363. The reversal of 1001221102313 is 3132011221001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 555387129049 + 445833973264 = 745243^2 + 667708^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001221102313 - 2⁶ = 1001221102249 is a prime.

It is a super-3 number, since 3×1001221102313³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001221102291 and 1001221102300.

It is not an unprimeable number, because it can be changed into a prime (1001221102363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17262432770 + ... + 17262432827.

It is an arithmetic number, because the mean of its divisors is an integer number (258936491985).

Almost surely, 2^{1001221102313} is an apocalyptic number.

It is an amenable number.

1001221102313 is a deficient number, since it is larger than the sum of its proper divisors (34524865627).

1001221102313 is an equidigital number, since it uses as much as digits as its factorization.

1001221102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34524865626.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1001221102313 its reverse (3132011221001), we get a palindrome (4133232323314).

The spelling of 1001221102313 in words is "one trillion, one billion, two hundred twenty-one million, one hundred two thousand, three hundred thirteen".