10102032013 has 2 divisors, whose sum is σ = 10102032014. Its totient is φ = 10102032012.

The previous prime is 10102032001. The next prime is 10102032023. The reversal of 10102032013 is 31023020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10045451529 + 56580484 = 100227^2 + 7522^2 .

It is an emirp because it is prime and its reverse (31023020101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102032013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102031984 and 10102032002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102032023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051016006 + 5051016007.

It is an arithmetic number, because the mean of its divisors is an integer number (5051016007).

Almost surely, 2^10102032013 is an apocalyptic number.

It is an amenable number.

10102032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102032013 is an equidigital number, since it uses as much as digits as its factorization.

10102032013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10102032013 its reverse (31023020101), we get a palindrome (41125052114).

The spelling of 10102032013 in words is "ten billion, one hundred two million, thirty-two thousand, thirteen".