11142133145130 has 256 divisors, whose sum is σ = 30458434406400. Its totient is φ = 2585961262080.

The previous prime is 11142133145023. The next prime is 11142133145137. The reversal of 11142133145130 is 3154133124111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11142133145137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1468191376 + ... + 1468198964.

It is an arithmetic number, because the mean of its divisors is an integer number (118978259400).

Almost surely, 2^{11142133145130} is an apocalyptic number.

11142133145130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11142133145130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15229217203200).

11142133145130 is an abundant number, since it is smaller than the sum of its proper divisors (19316301261270).

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

11142133145130 is a wasteful number, since it uses less digits than its factorization.

11142133145130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8549.

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 11142133145130 its reverse (3154133124111), we get a palindrome (14296266269241).

The spelling of 11142133145130 in words is "eleven trillion, one hundred forty-two billion, one hundred thirty-three million, one hundred forty-five thousand, one hundred thirty".