1013031821 has 2 divisors, whose sum is σ = 1013031822. Its totient is φ = 1013031820.

The previous prime is 1013031793. The next prime is 1013031827. The reversal of 1013031821 is 1281303101.

1013031821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1011558025 + 1473796 = 31805^2 + 1214^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1013031821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013031793 and 1013031802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013031827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506515910 + 506515911.

It is an arithmetic number, because the mean of its divisors is an integer number (506515911).

Almost surely, 2^1013031821 is an apocalyptic number.

It is an amenable number.

1013031821 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013031821 is an equidigital number, since it uses as much as digits as its factorization.

1013031821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1013031821 is about 31828.1608171129. The cubic root of 1013031821 is about 1004.3252059556.

Adding to 1013031821 its reverse (1281303101), we get a palindrome (2294334922).

The spelling of 1013031821 in words is "one billion, thirteen million, thirty-one thousand, eight hundred twenty-one".