1001220103311 has 32 divisors (see below), whose sum is σ = 1345170862080. Its totient is φ = 662399520000.

The previous prime is 1001220103249. The next prime is 1001220103333. The reversal of 1001220103311 is 1133010221001.

It is a happy number.

It is not a de Polignac number, because 1001220103311 - 2¹³ = 1001220095119 is a prime.

It is a super-3 number, since 3×1001220103311³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001220103381) 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 31 ways as a sum of consecutive naturals, for example, 261208651 + ... + 261212483.

It is an arithmetic number, because the mean of its divisors is an integer number (42036589440).

Almost surely, 2^{1001220103311} is an apocalyptic number.

1001220103311 is a deficient number, since it is larger than the sum of its proper divisors (343950758769).

1001220103311 is a wasteful number, since it uses less digits than its factorization.

1001220103311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1001220103311 its reverse (1133010221001), we get a palindrome (2134230324312).

The spelling of 1001220103311 in words is "one trillion, one billion, two hundred twenty million, one hundred three thousand, three hundred eleven".