10201440052313 has 2 divisors, whose sum is σ = 10201440052314. Its totient is φ = 10201440052312.

The previous prime is 10201440052301. The next prime is 10201440052399. The reversal of 10201440052313 is 31325004410201.

It is a happy number.

10201440052313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9782613632089 + 418826420224 = 3127717^2 + 647168^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201440052313 - 2⁸ = 10201440052057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10201440052613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100720026156 + 5100720026157.

It is an arithmetic number, because the mean of its divisors is an integer number (5100720026157).

Almost surely, 2^{10201440052313} is an apocalyptic number.

It is an amenable number.

10201440052313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201440052313 is an equidigital number, since it uses as much as digits as its factorization.

10201440052313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 10201440052313 its reverse (31325004410201), we get a palindrome (41526444462514).

The spelling of 10201440052313 in words is "ten trillion, two hundred one billion, four hundred forty million, fifty-two thousand, three hundred thirteen".