11331314400 has 144 divisors (see below), whose sum is σ = 42152552064. Its totient is φ = 2590010880.

The previous prime is 11331314399. The next prime is 11331314431. The reversal of 11331314400 is 441313311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320442 + ... + 354041.

It is an arithmetic number, because the mean of its divisors is an integer number (292726056).

Almost surely, 2^11331314400 is an apocalyptic number.

11331314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331314400 is an abundant number, since it is smaller than the sum of its proper divisors (30821237664).

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

11331314400 is a wasteful number, since it uses less digits than its factorization.

11331314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674513 (or 674500 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11331314400 its reverse (441313311), we get a palindrome (11772627711).

The spelling of 11331314400 in words is "eleven billion, three hundred thirty-one million, three hundred fourteen thousand, four hundred".