1013420320 has 96 divisors (see below), whose sum is σ = 2765581056. Its totient is φ = 346828800.

The previous prime is 1013420311. The next prime is 1013420327. The reversal of 1013420320 is 230243101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1013420294 and 1013420303.

It is not an unprimeable number, because it can be changed into a prime (1013420327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12985 + ... + 46855.

It is an arithmetic number, because the mean of its divisors is an integer number (28808136).

Almost surely, 2^1013420320 is an apocalyptic number.

1013420320 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 1013420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382790528).

1013420320 is an abundant number, since it is smaller than the sum of its proper divisors (1752160736).

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

1013420320 is a wasteful number, since it uses less digits than its factorization.

1013420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33914 (or 33906 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1013420320 is about 31834.2633022974. The cubic root of 1013420320 is about 1004.4535762143.

Adding to 1013420320 its reverse (230243101), we get a palindrome (1243663421).

The spelling of 1013420320 in words is "one billion, thirteen million, four hundred twenty thousand, three hundred twenty".