1001133133311 has 8 divisors (see below), whose sum is σ = 1334877312640. Its totient is φ = 667405521432.

The previous prime is 1001133133291. The next prime is 1001133133327. The reversal of 1001133133311 is 1133313311001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1001133133311 - 2¹⁴ = 1001133116927 is a prime.

It is a super-2 number, since 2×1001133133311² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001133138311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4000171 + ... + 4243068.

It is an arithmetic number, because the mean of its divisors is an integer number (166859664080).

Almost surely, 2^{1001133133311} is an apocalyptic number.

1001133133311 is a deficient number, since it is larger than the sum of its proper divisors (333744179329).

1001133133311 is an equidigital number, since it uses as much as digits as its factorization.

1001133133311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8283725.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 1001133133311 its reverse (1133313311001), we get a palindrome (2134446444312).

The spelling of 1001133133311 in words is "one trillion, one billion, one hundred thirty-three million, one hundred thirty-three thousand, three hundred eleven".