1013142321 has 12 divisors (see below), whose sum is σ = 1463730372. Its totient is φ = 675288576.

The previous prime is 1013142313. The next prime is 1013142323. The reversal of 1013142321 is 1232413101.

1013142321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 91412721 + 921729600 = 9561^2 + 30360^2 .

It is not a de Polignac number, because 1013142321 - 2³ = 1013142313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013142294 and 1013142303.

It is not an unprimeable number, because it can be changed into a prime (1013142323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53505 + ... + 69921.

It is an arithmetic number, because the mean of its divisors is an integer number (121977531).

Almost surely, 2^1013142321 is an apocalyptic number.

It is an amenable number.

1013142321 is a deficient number, since it is larger than the sum of its proper divisors (450588051).

1013142321 is a wasteful number, since it uses less digits than its factorization.

1013142321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23280 (or 23277 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1013142321 is about 31829.8966539321. The cubic root of 1013142321 is about 1004.3617213931.

Adding to 1013142321 its reverse (1232413101), we get a palindrome (2245555422).

The spelling of 1013142321 in words is "one billion, thirteen million, one hundred forty-two thousand, three hundred twenty-one".