10021310013 has 64 divisors (see below), whose sum is σ = 16690157568. Its totient is φ = 5261118720.

The previous prime is 10021310009. The next prime is 10021310017. The reversal of 10021310013 is 31001312001.

It is an interprime number because it is at equal distance from previous prime (10021310009) and next prime (10021310017).

It is not a de Polignac number, because 10021310013 - 2² = 10021310009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021310017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513370 + ... + 532532.

It is an arithmetic number, because the mean of its divisors is an integer number (260783712).

Almost surely, 2^10021310013 is an apocalyptic number.

10021310013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10021310013 is a deficient number, since it is larger than the sum of its proper divisors (6668847555).

10021310013 is a wasteful number, since it uses less digits than its factorization.

10021310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19266.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10021310013 its reverse (31001312001), we get a palindrome (41022622014).

The spelling of 10021310013 in words is "ten billion, twenty-one million, three hundred ten thousand, thirteen".