1031132120 has 64 divisors (see below), whose sum is σ = 2405700000. Its totient is φ = 397293568.

The previous prime is 1031132117. The next prime is 1031132171. The reversal of 1031132120 is 212311301.

It is a junction number, because it is equal to n+sod(n) for n = 1031132095 and 1031132104.

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 15 ways as a sum of consecutive naturals, for example, 687131 + ... + 688629.

Almost surely, 2^1031132120 is an apocalyptic number.

1031132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202850000).

1031132120 is an abundant number, since it is smaller than the sum of its proper divisors (1374567880).

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

1031132120 is a wasteful number, since it uses less digits than its factorization.

1031132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2128 counting only the distinct ones).

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

The square root of 1031132120 is about 32111.2460050992. The cubic root of 1031132120 is about 1010.2715082241.

Adding to 1031132120 its reverse (212311301), we get a palindrome (1243443421).

The spelling of 1031132120 in words is "one billion, thirty-one million, one hundred thirty-two thousand, one hundred twenty".