10123132013 has 2 divisors, whose sum is σ = 10123132014. Its totient is φ = 10123132012.

The previous prime is 10123132003. The next prime is 10123132021. The reversal of 10123132013 is 31023132101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8332403524 + 1790728489 = 91282^2 + 42317^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123132013 - 2²⁰ = 10122083437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10123131982 and 10123132000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123132003) 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 as a sum of consecutive naturals, namely, 5061566006 + 5061566007.

It is an arithmetic number, because the mean of its divisors is an integer number (5061566007).

Almost surely, 2^10123132013 is an apocalyptic number.

It is an amenable number.

10123132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123132013 is an equidigital number, since it uses as much as digits as its factorization.

10123132013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10123132013 its reverse (31023132101), we get a palindrome (41146264114).

The spelling of 10123132013 in words is "ten billion, one hundred twenty-three million, one hundred thirty-two thousand, thirteen".