1001331301131 has 24 divisors (see below), whose sum is σ = 1750226141664. Its totient is φ = 538531119360.

The previous prime is 1001331301109. The next prime is 1001331301133. The reversal of 1001331301131 is 1311031331001.

1001331301131 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 331 + 301 + 1 + 31 = 666.

It is not a de Polignac number, because 1001331301131 - 2⁶ = 1001331301067 is a prime.

It is a super-2 number, since 2×1001331301131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001331301133) 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 23 ways as a sum of consecutive naturals, for example, 467473860 + ... + 467476001.

It is an arithmetic number, because the mean of its divisors is an integer number (72926089236).

Almost surely, 2^{1001331301131} is an apocalyptic number.

1001331301131 is a deficient number, since it is larger than the sum of its proper divisors (748894840533).

1001331301131 is a wasteful number, since it uses less digits than its factorization.

1001331301131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934949891 (or 934949888 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1001331301131 its reverse (1311031331001), we get a palindrome (2312362632132).

The spelling of 1001331301131 in words is "one trillion, one billion, three hundred thirty-one million, three hundred one thousand, one hundred thirty-one".