1021538313 has 12 divisors (see below), whose sum is σ = 1562352948. Its totient is φ = 640965120.

The previous prime is 1021538293. The next prime is 1021538317. The reversal of 1021538313 is 3138351201.

It can be written as a sum of positive squares in 2 ways, for example, as 526564809 + 494973504 = 22947^2 + 22248^2 .

It is not a de Polignac number, because 1021538313 - 2¹³ = 1021530121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1021538317) 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, 3338208 + ... + 3338513.

It is an arithmetic number, because the mean of its divisors is an integer number (130196079).

Almost surely, 2^1021538313 is an apocalyptic number.

It is an amenable number.

1021538313 is a deficient number, since it is larger than the sum of its proper divisors (540814635).

1021538313 is a wasteful number, since it uses less digits than its factorization.

1021538313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6676744 (or 6676741 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1021538313 is about 31961.5129961020. The cubic root of 1021538313 is about 1007.1285013884.

Adding to 1021538313 its reverse (3138351201), we get a palindrome (4159889514).

The spelling of 1021538313 in words is "one billion, twenty-one million, five hundred thirty-eight thousand, three hundred thirteen".