11132314123040 has 48 divisors (see below), whose sum is σ = 28691009585280. Its totient is φ = 4048114225920.

The previous prime is 11132314123013. The next prime is 11132314123067. The reversal of 11132314123040 is 4032141323111.

11132314123040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11132314123013) and next prime (11132314123067).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3162587480 + ... + 3162590999.

It is an arithmetic number, because the mean of its divisors is an integer number (597729366360).

Almost surely, 2^{11132314123040} is an apocalyptic number.

11132314123040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132314123040 is an abundant number, since it is smaller than the sum of its proper divisors (17558695462240).

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

11132314123040 is a wasteful number, since it uses less digits than its factorization.

11132314123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6325178505 (or 6325178497 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 11132314123040 its reverse (4032141323111), we get a palindrome (15164455446151).

The spelling of 11132314123040 in words is "eleven trillion, one hundred thirty-two billion, three hundred fourteen million, one hundred twenty-three thousand, forty".