10123312013 has 2 divisors, whose sum is σ = 10123312014. Its totient is φ = 10123312012.

The previous prime is 10123311973. The next prime is 10123312039. The reversal of 10123312013 is 31021332101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9922749769 + 200562244 = 99613^2 + 14162^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10123312013 is a prime.

It is a super-2 number, since 2×10123312013² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10123311982 and 10123312000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123311013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061656006 + 5061656007.

It is an arithmetic number, because the mean of its divisors is an integer number (5061656007).

Almost surely, 2^10123312013 is an apocalyptic number.

It is an amenable number.

10123312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123312013 is an equidigital number, since it uses as much as digits as its factorization.

10123312013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10123312013 its reverse (31021332101), we get a palindrome (41144644114).

The spelling of 10123312013 in words is "ten billion, one hundred twenty-three million, three hundred twelve thousand, thirteen".