10010020023013 has 8 divisors (see below), whose sum is σ = 10199593013400. Its totient is φ = 9820473132288.

The previous prime is 10010020023001. The next prime is 10010020023019. The reversal of 10010020023013 is 31032002001001.

It can be written as a sum of positive squares in 4 ways, for example, as 225341988804 + 9784678034209 = 474702^2 + 3128047^2 .

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 10010020023013 - 2²¹ = 10010017925861 is a prime.

It is a super-2 number, since 2×10010020023013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010020022984 and 10010020023002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010020023019) 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, 5749728 + ... + 7285561.

It is an arithmetic number, because the mean of its divisors is an integer number (1274949126675).

Almost surely, 2^{10010020023013} is an apocalyptic number.

It is an amenable number.

10010020023013 is a deficient number, since it is larger than the sum of its proper divisors (189572990387).

10010020023013 is a wasteful number, since it uses less digits than its factorization.

10010020023013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13049831.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10010020023013 its reverse (31032002001001), we get a palindrome (41042022024014).

The spelling of 10010020023013 in words is "ten trillion, ten billion, twenty million, twenty-three thousand, thirteen".