1111133141000 has 128 divisors (see below), whose sum is σ = 2767417436160. Its totient is φ = 416117632000.

The previous prime is 1111133140993. The next prime is 1111133141009. The reversal of 1111133141000 is 1413311111.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1111133141000.

It is not an unprimeable number, because it can be changed into a prime (1111133141009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3075899 + ... + 3418101.

It is an arithmetic number, because the mean of its divisors is an integer number (21620448720).

Almost surely, 2^{1111133141000} is an apocalyptic number.

1111133141000 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 1111133141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383708718080).

1111133141000 is an abundant number, since it is smaller than the sum of its proper divisors (1656284295160).

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

1111133141000 is a wasteful number, since it uses less digits than its factorization.

1111133141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342432 (or 342418 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1111133141000 its reverse (1413311111), we get a palindrome (1112546452111).

The spelling of 1111133141000 in words is "one trillion, one hundred eleven billion, one hundred thirty-three million, one hundred forty-one thousand".