11131032 has 48 divisors (see below), whose sum is σ = 30595320. Its totient is φ = 3372160.

The previous prime is 11131027. The next prime is 11131037. The reversal of 11131032 is 23013111.

It is an interprime number because it is at equal distance from previous prime (11131027) and next prime (11131037).

It is a super-3 number, since 3×11131032³ (a number of 22 digits) contains 333 as substring.

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 = 11130999 and 11131017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 988 + ... + 4820.

Almost surely, 2^11131032 is an apocalyptic number.

11131032 is a gapful number since it is divisible by the number (12) 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 11131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297660).

11131032 is an abundant number, since it is smaller than the sum of its proper divisors (19464288).

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

11131032 is a wasteful number, since it uses less digits than its factorization.

11131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3849 counting only the distinct ones).

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

The square root of 11131032 is about 3336.3201285248. The cubic root of 11131032 is about 223.2775940698.

Adding to 11131032 its reverse (23013111), we get a palindrome (34144143).

It can be divided in two parts, 1113 and 1032, that added together give a triangular number (2145 = T₆₅).

The spelling of 11131032 in words is "eleven million, one hundred thirty-one thousand, thirty-two".