1001220103313 has 16 divisors (see below), whose sum is σ = 1027393160640. Its totient is φ = 975389071104.

The previous prime is 1001220103249. The next prime is 1001220103333. The reversal of 1001220103313 is 3133010221001.

It is a cyclic number.

It is not a de Polignac number, because 1001220103313 - 2⁶ = 1001220103249 is a prime.

It is a super-3 number, since 3×1001220103313³ (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 = 1001220103291 and 1001220103300.

It is not an unprimeable number, because it can be changed into a prime (1001220103333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31545470 + ... + 31577192.

It is an arithmetic number, because the mean of its divisors is an integer number (64212072540).

Almost surely, 2^{1001220103313} is an apocalyptic number.

It is an amenable number.

1001220103313 is a deficient number, since it is larger than the sum of its proper divisors (26173057327).

1001220103313 is an equidigital number, since it uses as much as digits as its factorization.

1001220103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37088.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1001220103313 its reverse (3133010221001), we get a palindrome (4134230324314).

The spelling of 1001220103313 in words is "one trillion, one billion, two hundred twenty million, one hundred three thousand, three hundred thirteen".