1001334131 has 12 divisors (see below), whose sum is σ = 1182496176. Its totient is φ = 830594160.

The previous prime is 1001334121. The next prime is 1001334133. The reversal of 1001334131 is 1314331001.

It is not a de Polignac number, because 1001334131 - 2¹⁰ = 1001333107 is a prime.

It is a super-2 number, since 2×1001334131² = 2005340083811050322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001334133) 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 11 ways as a sum of consecutive naturals, for example, 67700 + ... + 81153.

It is an arithmetic number, because the mean of its divisors is an integer number (98541348).

Almost surely, 2^1001334131 is an apocalyptic number.

1001334131 is a deficient number, since it is larger than the sum of its proper divisors (181162045).

1001334131 is an equidigital number, since it uses as much as digits as its factorization.

1001334131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148922 (or 148891 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1001334131 is about 31643.8640339640. The cubic root of 1001334131 is about 1000.4445127125. Note that the first 3 decimals are identical.

Adding to 1001334131 its reverse (1314331001), we get a palindrome (2315665132).

It can be divided in two parts, 10013 and 34131, that added together give a palindrome (44144).

The spelling of 1001334131 in words is "one billion, one million, three hundred thirty-four thousand, one hundred thirty-one".