10523353013 has 2 divisors, whose sum is σ = 10523353014. Its totient is φ = 10523353012.

The previous prime is 10523352991. The next prime is 10523353051. The reversal of 10523353013 is 31035332501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10318090084 + 205262929 = 101578^2 + 14327^2 .

It is an emirp because it is prime and its reverse (31035332501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10523353013 - 2¹⁸ = 10523090869 is a prime.

It is a super-2 number, since 2×10523353013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10523353913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5261676506 + 5261676507.

It is an arithmetic number, because the mean of its divisors is an integer number (5261676507).

Almost surely, 2^10523353013 is an apocalyptic number.

It is an amenable number.

10523353013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10523353013 is an equidigital number, since it uses as much as digits as its factorization.

10523353013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4050, while the sum is 26.

Adding to 10523353013 its reverse (31035332501), we get a palindrome (41558685514).

The spelling of 10523353013 in words is "ten billion, five hundred twenty-three million, three hundred fifty-three thousand, thirteen".