10021535434313 has 8 divisors (see below), whose sum is σ = 10792476294600. Its totient is φ = 9250602219648.

The previous prime is 10021535434301. The next prime is 10021535434331. The reversal of 10021535434313 is 31343453512001.

It can be written as a sum of positive squares in 4 ways, for example, as 976671663289 + 9044863771024 = 988267^2 + 3007468^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10021535434313 - 2¹² = 10021535430217 is a prime.

It is a super-2 number, since 2×10021535434313² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10021535434363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 972053 + ... + 4581261.

It is an arithmetic number, because the mean of its divisors is an integer number (1349059536825).

Almost surely, 2^{10021535434313} is an apocalyptic number.

10021535434313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10021535434313 is a deficient number, since it is larger than the sum of its proper divisors (770940860287).

10021535434313 is a wasteful number, since it uses less digits than its factorization.

10021535434313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822811.

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 10021535434313 its reverse (31343453512001), we get a palindrome (41364988946314).

The spelling of 10021535434313 in words is "ten trillion, twenty-one billion, five hundred thirty-five million, four hundred thirty-four thousand, three hundred thirteen".