1114133020 has 384 divisors, whose sum is σ = 3454617600. Its totient is φ = 290304000.

The previous prime is 1114133003. The next prime is 1114133021. The reversal of 1114133020 is 203314111.

It is a junction number, because it is equal to n+sod(n) for n = 1114132985 and 1114133003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114133021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11030970 + ... + 11031070.

It is an arithmetic number, because the mean of its divisors is an integer number (8996400).

Almost surely, 2^1114133020 is an apocalyptic number.

1114133020 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 1114133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727308800).

1114133020 is an abundant number, since it is smaller than the sum of its proper divisors (2340484580).

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

1114133020 is a wasteful number, since it uses less digits than its factorization.

1114133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1114133020 is about 33378.6311882318. The cubic root of 1114133020 is about 1036.6822960369.

Adding to 1114133020 its reverse (203314111), we get a palindrome (1317447131).

The spelling of 1114133020 in words is "one billion, one hundred fourteen million, one hundred thirty-three thousand, twenty".