1001101311 has 18 divisors (see below), whose sum is σ = 1682123352. Its totient is φ = 572057640.

The previous prime is 1001101303. The next prime is 1001101379. The reversal of 1001101311 is 1131011001.

It is not a de Polignac number, because 1001101311 - 2³ = 1001101303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001101293 and 1001101302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101511) 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 17 ways as a sum of consecutive naturals, for example, 1134595 + ... + 1135476.

Almost surely, 2^1001101311 is an apocalyptic number.

1001101311 is a deficient number, since it is larger than the sum of its proper divisors (681022041).

1001101311 is a wasteful number, since it uses less digits than its factorization.

1001101311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270091 (or 2270081 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 1001101311 is about 31640.1850658304. The cubic root of 1001101311 is about 1000.3669689840.

Adding to 1001101311 its reverse (1131011001), we get a palindrome (2132112312).

The spelling of 1001101311 in words is "one billion, one million, one hundred one thousand, three hundred eleven".