11131013414004 has 96 divisors (see below), whose sum is σ = 28738978208640. Its totient is φ = 3325053504000.

The previous prime is 11131013413999. The next prime is 11131013414051. The reversal of 11131013414004 is 40041431013111.

11131013414004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1230082 + ... + 4875974.

It is an arithmetic number, because the mean of its divisors is an integer number (299364356340).

Almost surely, 2^{11131013414004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131013414004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14369489104320).

11131013414004 is an abundant number, since it is smaller than the sum of its proper divisors (17607964794636).

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

11131013414004 is a wasteful number, since it uses less digits than its factorization.

11131013414004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646241 (or 3646239 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11131013414004 its reverse (40041431013111), we get a palindrome (51172444427115).

The spelling of 11131013414004 in words is "eleven trillion, one hundred thirty-one billion, thirteen million, four hundred fourteen thousand, four".