1001131005 has 48 divisors (see below), whose sum is σ = 1944376704. Its totient is φ = 437754240.

The previous prime is 1001130997. The next prime is 1001131013. The reversal of 1001131005 is 5001311001.

It is an interprime number because it is at equal distance from previous prime (1001130997) and next prime (1001131013).

It is not a de Polignac number, because 1001131005 - 2³ = 1001130997 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12706 + ... + 46515.

It is an arithmetic number, because the mean of its divisors is an integer number (40507848).

Almost surely, 2^1001131005 is an apocalyptic number.

1001131005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001131005 is a deficient number, since it is larger than the sum of its proper divisors (943245699).

1001131005 is a wasteful number, since it uses less digits than its factorization.

1001131005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59266 (or 59259 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 12.

The square root of 1001131005 is about 31640.6543073938. The cubic root of 1001131005 is about 1000.3768596256.

Adding to 1001131005 its reverse (5001311001), we get a palindrome (6002442006).

The spelling of 1001131005 in words is "one billion, one million, one hundred thirty-one thousand, five".