10213303312013 has 12 divisors (see below), whose sum is σ = 10524495522240. Its totient is φ = 9911047879152.

The previous prime is 10213303311977. The next prime is 10213303312019. The reversal of 10213303312013 is 31021330331201.

10213303312013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10213303312013 - 2¹⁰ = 10213303310989 is a prime.

It is a super-2 number, since 2×10213303312013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10213303312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213303312019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9323381 + ... + 10361082.

It is an arithmetic number, because the mean of its divisors is an integer number (877041293520).

Almost surely, 2^{10213303312013} is an apocalyptic number.

It is an amenable number.

10213303312013 is a deficient number, since it is larger than the sum of its proper divisors (311192210227).

10213303312013 is an equidigital number, since it uses as much as digits as its factorization.

10213303312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19684916 (or 19684879 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10213303312013 its reverse (31021330331201), we get a palindrome (41234633643214).

It can be divided in two parts, 1021330331201 and 3, that multiplied together give a palindrome (3063990993603).

The spelling of 10213303312013 in words is "ten trillion, two hundred thirteen billion, three hundred three million, three hundred twelve thousand, thirteen".