1001333331131 has 16 divisors (see below), whose sum is σ = 1160110195200. Its totient is φ = 846489849408.

The previous prime is 1001333331113. The next prime is 1001333331139. The reversal of 1001333331131 is 1311333331001.

It is not a de Polignac number, because 1001333331131 - 2²⁶ = 1001266222267 is a prime.

It is a super-2 number, since 2×1001333331131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001333331097 and 1001333331106.

It is not an unprimeable number, because it can be changed into a prime (1001333331139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20026160 + ... + 20076098.

It is an arithmetic number, because the mean of its divisors is an integer number (72506887200).

Almost surely, 2^{1001333331131} is an apocalyptic number.

1001333331131 is a deficient number, since it is larger than the sum of its proper divisors (158776864069).

1001333331131 is an equidigital number, since it uses as much as digits as its factorization.

1001333331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89258.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 1001333331131 its reverse (1311333331001), we get a palindrome (2312666662132).

The spelling of 1001333331131 in words is "one trillion, one billion, three hundred thirty-three million, three hundred thirty-one thousand, one hundred thirty-one".