11331401000 has 96 divisors (see below), whose sum is σ = 28167679800. Its totient is φ = 4265830400.

The previous prime is 11331400933. The next prime is 11331401023. The reversal of 11331401000 is 10413311.

11331401000 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 12 ways, for example, as 1513365604 + 9818035396 = 38902^2 + 99086^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269396 + ... + 308604.

Almost surely, 2^11331401000 is an apocalyptic number.

11331401000 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 11331401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14083839900).

11331401000 is an abundant number, since it is smaller than the sum of its proper divisors (16836278800).

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

11331401000 is a wasteful number, since it uses less digits than its factorization.

11331401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39264 (or 39233 counting only the distinct ones).

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

Adding to 11331401000 its reverse (10413311), we get a palindrome (11341814311).

The spelling of 11331401000 in words is "eleven billion, three hundred thirty-one million, four hundred one thousand".