11133312020142 has 192 divisors, whose sum is σ = 25411894718976. Its totient is φ = 3243893452800.

The previous prime is 11133312020111. The next prime is 11133312020177. The reversal of 11133312020142 is 24102021333111.

It is a super-3 number, since 3×11133312020142³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2891016517 + ... + 2891020367.

It is an arithmetic number, because the mean of its divisors is an integer number (132353618328).

Almost surely, 2^{11133312020142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11133312020142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705947359488).

11133312020142 is an abundant number, since it is smaller than the sum of its proper divisors (14278582698834).

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

11133312020142 is a wasteful number, since it uses less digits than its factorization.

11133312020142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11133312020142 its reverse (24102021333111), we get a palindrome (35235333353253).

The spelling of 11133312020142 in words is "eleven trillion, one hundred thirty-three billion, three hundred twelve million, twenty thousand, one hundred forty-two".