1001122221313 has 16 divisors (see below), whose sum is σ = 1055558010240. Its totient is φ = 946862092800.

The previous prime is 1001122221257. The next prime is 1001122221329. The reversal of 1001122221313 is 3131222211001.

It is a cyclic number.

It is not a de Polignac number, because 1001122221313 - 2¹³ = 1001122213121 is a prime.

It is a super-3 number, since 3×1001122221313³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001122231313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34661268 + ... + 34690138.

It is an arithmetic number, because the mean of its divisors is an integer number (65972375640).

Almost surely, 2^{1001122221313} is an apocalyptic number.

It is an amenable number.

1001122221313 is a deficient number, since it is larger than the sum of its proper divisors (54435788927).

1001122221313 is a wasteful number, since it uses less digits than its factorization.

1001122221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31848.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1001122221313 its reverse (3131222211001), we get a palindrome (4132344432314).

The spelling of 1001122221313 in words is "one trillion, one billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred thirteen".