1021021313 has 12 divisors (see below), whose sum is σ = 1149454740. Its totient is φ = 901497696.

The previous prime is 1021021307. The next prime is 1021021399. The reversal of 1021021313 is 3131201201.

1021021313 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 219395344 + 801625969 = 14812^2 + 28313^2 .

It is not a de Polignac number, because 1021021313 - 2¹⁶ = 1020955777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021021013) 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, 67358 + ... + 81111.

It is an arithmetic number, because the mean of its divisors is an integer number (95787895).

Almost surely, 2^1021021313 is an apocalyptic number.

1021021313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1021021313 is a deficient number, since it is larger than the sum of its proper divisors (128433427).

1021021313 is a wasteful number, since it uses less digits than its factorization.

1021021313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148528 (or 148505 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1021021313 is about 31953.4241201158. The cubic root of 1021021313 is about 1006.9585703172.

Adding to 1021021313 its reverse (3131201201), we get a palindrome (4152222514).

The spelling of 1021021313 in words is "one billion, twenty-one million, twenty-one thousand, three hundred thirteen".