10123300213 has 8 divisors (see below), whose sum is σ = 10913663768. Its totient is φ = 9334600704.

The previous prime is 10123300169. The next prime is 10123300223. The reversal of 10123300213 is 31200332101.

It can be written as a sum of positive squares in 4 ways, for example, as 1937936484 + 8185363729 = 44022^2 + 90473^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10123300213 - 2⁹ = 10123299701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123300223) 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, 403356 + ... + 427717.

It is an arithmetic number, because the mean of its divisors is an integer number (1364207971).

Almost surely, 2^10123300213 is an apocalyptic number.

10123300213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10123300213 is a deficient number, since it is larger than the sum of its proper divisors (790363555).

10123300213 is an equidigital number, since it uses as much as digits as its factorization.

10123300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832023.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10123300213 its reverse (31200332101), we get a palindrome (41323632314).

The spelling of 10123300213 in words is "ten billion, one hundred twenty-three million, three hundred thousand, two hundred thirteen".