10152102543113 has 2 divisors, whose sum is σ = 10152102543114. Its totient is φ = 10152102543112.

The previous prime is 10152102543047. The next prime is 10152102543151. The reversal of 10152102543113 is 31134520125101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8504904844489 + 1647197698624 = 2916317^2 + 1283432^2 .

It is a cyclic number.

It is not a de Polignac number, because 10152102543113 - 2¹⁴ = 10152102526729 is a prime.

It is not a weakly prime, because it can be changed into another prime (10152102543013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5076051271556 + 5076051271557.

It is an arithmetic number, because the mean of its divisors is an integer number (5076051271557).

Almost surely, 2^{10152102543113} is an apocalyptic number.

It is an amenable number.

10152102543113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10152102543113 is an equidigital number, since it uses as much as digits as its factorization.

10152102543113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 10152102543113 its reverse (31134520125101), we get a palindrome (41286622668214).

The spelling of 10152102543113 in words is "ten trillion, one hundred fifty-two billion, one hundred two million, five hundred forty-three thousand, one hundred thirteen".