10027013315681 has 4 divisors (see below), whose sum is σ = 10027020690372. Its totient is φ = 10027005940992.

The previous prime is 10027013315659. The next prime is 10027013315701. The reversal of 10027013315681 is 18651331072001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 4705064221456 + 5321949094225 = 2169116^2 + 2306935^2 .

It is a cyclic number.

It is not a de Polignac number, because 10027013315681 - 2¹⁴ = 10027013299297 is a prime.

It is a super-2 number, since 2×10027013315681² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10027013311681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 990296 + ... + 4586361.

It is an arithmetic number, because the mean of its divisors is an integer number (2506755172593).

Almost surely, 2^{10027013315681} is an apocalyptic number.

It is an amenable number.

10027013315681 is a deficient number, since it is larger than the sum of its proper divisors (7374691).

10027013315681 is an equidigital number, since it uses as much as digits as its factorization.

10027013315681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374690.

The product of its (nonzero) digits is 30240, while the sum is 38.

Adding to 10027013315681 its reverse (18651331072001), we get a palindrome (28678344387682).

The spelling of 10027013315681 in words is "ten trillion, twenty-seven billion, thirteen million, three hundred fifteen thousand, six hundred eighty-one".