1012032131 has 16 divisors (see below), whose sum is σ = 1212675840. Its totient is φ = 833706720.

The previous prime is 1012032121. The next prime is 1012032167. The reversal of 1012032131 is 1312302101.

It is not a de Polignac number, because 1012032131 - 2⁶ = 1012032067 is a prime.

It is a super-2 number, since 2×1012032131² = 2048418068352802322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012032121) 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 15 ways as a sum of consecutive naturals, for example, 100460 + ... + 110073.

It is an arithmetic number, because the mean of its divisors is an integer number (75792240).

Almost surely, 2^1012032131 is an apocalyptic number.

1012032131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012032131 is a deficient number, since it is larger than the sum of its proper divisors (200643709).

1012032131 is a wasteful number, since it uses less digits than its factorization.

1012032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210586.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1012032131 is about 31812.4524518309. The cubic root of 1012032131 is about 1003.9947312068.

Adding to 1012032131 its reverse (1312302101), we get a palindrome (2324334232).

The spelling of 1012032131 in words is "one billion, twelve million, thirty-two thousand, one hundred thirty-one".