1013183820 has 144 divisors (see below), whose sum is σ = 3381225120. Its totient is φ = 245562240.

The previous prime is 1013183803. The next prime is 1013183827. The reversal of 1013183820 is 283813101.

It is not an unprimeable number, because it can be changed into a prime (1013183827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237466 + ... + 241694.

It is an arithmetic number, because the mean of its divisors is an integer number (23480730).

Almost surely, 2^1013183820 is an apocalyptic number.

1013183820 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 1013183820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690612560).

1013183820 is an abundant number, since it is smaller than the sum of its proper divisors (2368041300).

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

1013183820 is a wasteful number, since it uses less digits than its factorization.

1013183820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1013183820 is about 31830.5485343875. The cubic root of 1013183820 is about 1004.3754343195.

Adding to 1013183820 its reverse (283813101), we get a palindrome (1296996921).

The spelling of 1013183820 in words is "one billion, thirteen million, one hundred eighty-three thousand, eight hundred twenty".