1032131331 has 72 divisors (see below), whose sum is σ = 1900184832. Its totient is φ = 528343200.

The previous prime is 1032131263. The next prime is 1032131369. The reversal of 1032131331 is 1331312301.

It is a happy number.

1032131331 is a `hidden beast` number, since 1 + 0 + 321 + 313 + 31 = 666.

It is not a de Polignac number, because 1032131331 - 2¹⁴ = 1032114947 is a prime.

It is a super-2 number, since 2×1032131331² = 2130590168863663122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1032131531) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 540280 + ... + 542186.

It is an arithmetic number, because the mean of its divisors is an integer number (26391456).

Almost surely, 2^1032131331 is an apocalyptic number.

1032131331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1032131331 is a deficient number, since it is larger than the sum of its proper divisors (868053501).

1032131331 is a wasteful number, since it uses less digits than its factorization.

1032131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1032131331 is about 32126.8008211213. The cubic root of 1032131331 is about 1010.5977349301.

Adding to 1032131331 its reverse (1331312301), we get a palindrome (2363443632).

The spelling of 1032131331 in words is "one billion, thirty-two million, one hundred thirty-one thousand, three hundred thirty-one".