10130221332013 has 2 divisors, whose sum is σ = 10130221332014. Its totient is φ = 10130221332012.

The previous prime is 10130221331987. The next prime is 10130221332103. The reversal of 10130221332013 is 31023312203101.

10130221332013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10130221332103) 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., 10129846638564 + 374693449 = 3182742^2 + 19357^2 .

It is a cyclic number.

It is not a de Polignac number, because 10130221332013 - 2¹⁷ = 10130221200941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10130221362013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065110666006 + 5065110666007.

It is an arithmetic number, because the mean of its divisors is an integer number (5065110666007).

Almost surely, 2^{10130221332013} is an apocalyptic number.

It is an amenable number.

10130221332013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10130221332013 is an equidigital number, since it uses as much as digits as its factorization.

10130221332013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10130221332013 its reverse (31023312203101), we get a palindrome (41153533535114).

The spelling of 10130221332013 in words is "ten trillion, one hundred thirty billion, two hundred twenty-one million, three hundred thirty-two thousand, thirteen".