10120021013 has 2 divisors, whose sum is σ = 10120021014. Its totient is φ = 10120021012.

The previous prime is 10120021003. The next prime is 10120021031. The reversal of 10120021013 is 31012002101.

Together with next prime (10120021031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6691567204 + 3428453809 = 81802^2 + 58553^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120021013 - 2¹⁶ = 10119955477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10120020985 and 10120021003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120021003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060010506 + 5060010507.

It is an arithmetic number, because the mean of its divisors is an integer number (5060010507).

Almost surely, 2^10120021013 is an apocalyptic number.

It is an amenable number.

10120021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120021013 is an equidigital number, since it uses as much as digits as its factorization.

10120021013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10120021013 its reverse (31012002101), we get a palindrome (41132023114).

It can be divided in two parts, 1012002101 and 3, that multiplied together give a palindrome (3036006303).

The spelling of 10120021013 in words is "ten billion, one hundred twenty million, twenty-one thousand, thirteen".