11331400 has 48 divisors (see below), whose sum is σ = 26867700. Its totient is φ = 4442880.

The previous prime is 11331389. The next prime is 11331473. The reversal of 11331400 is 413311.

11331400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5171076 + 6160324 = 2274^2 + 2482^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10066 + ... + 11134.

Almost surely, 2^11331400 is an apocalyptic number.

11331400 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 11331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433850).

11331400 is an abundant number, since it is smaller than the sum of its proper divisors (15536300).

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

11331400 is a wasteful number, since it uses less digits than its factorization.

11331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 11331400 is about 3366.2144910864. The cubic root of 11331400 is about 224.6093633359.

Adding to 11331400 its reverse (413311), we get a palindrome (11744711).

It can be divided in two parts, 113 and 31400, that added together give a palindrome (31513).

The spelling of 11331400 in words is "eleven million, three hundred thirty-one thousand, four hundred".