11013431341140 has 288 divisors, whose sum is σ = 35753666457600. Its totient is φ = 2734498787328.

The previous prime is 11013431341117. The next prime is 11013431341141. The reversal of 11013431341140 is 4114313431011.

11013431341140 is a `hidden beast` number, since 110 + 1 + 3 + 431 + 3 + 4 + 114 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013431341141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135587779 + ... + 135668981.

It is an arithmetic number, because the mean of its divisors is an integer number (124144675200).

Almost surely, 2^{11013431341140} is an apocalyptic number.

11013431341140 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 11013431341140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17876833228800).

11013431341140 is an abundant number, since it is smaller than the sum of its proper divisors (24740235116460).

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

11013431341140 is a wasteful number, since it uses less digits than its factorization.

11013431341140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81711 (or 81706 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11013431341140 its reverse (4114313431011), we get a palindrome (15127744772151).

The spelling of 11013431341140 in words is "eleven trillion, thirteen billion, four hundred thirty-one million, three hundred forty-one thousand, one hundred forty".