1001131032 has 64 divisors (see below), whose sum is σ = 2733212160. Its totient is φ = 303056000.

The previous prime is 1001131013. The next prime is 1001131049. The reversal of 1001131032 is 2301311001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001130999 and 1001131017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424657 + ... + 427007.

It is an arithmetic number, because the mean of its divisors is an integer number (42706440).

Almost surely, 2^1001131032 is an apocalyptic number.

1001131032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001131032 is an abundant number, since it is smaller than the sum of its proper divisors (1732081128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001131032 is a wasteful number, since it uses less digits than its factorization.

1001131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1001131032 is about 31640.6547340601. The cubic root of 1001131032 is about 1000.3768686189.

Adding to 1001131032 its reverse (2301311001), we get a palindrome (3302442033).

The spelling of 1001131032 in words is "one billion, one million, one hundred thirty-one thousand, thirty-two".