10201413311241 has 8 divisors (see below), whose sum is σ = 13601945423904. Its totient is φ = 6800911703040.

The previous prime is 10201413311227. The next prime is 10201413311357. The reversal of 10201413311241 is 14211331410201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10201413311241 - 2¹⁷ = 10201413180169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201413311741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6834040 + ... + 8191881.

It is an arithmetic number, because the mean of its divisors is an integer number (1700243177988).

Almost surely, 2^{10201413311241} is an apocalyptic number.

It is an amenable number.

10201413311241 is a deficient number, since it is larger than the sum of its proper divisors (3400532112663).

10201413311241 is a wasteful number, since it uses less digits than its factorization.

10201413311241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15252231.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10201413311241 its reverse (14211331410201), we get a palindrome (24412744721442).

The spelling of 10201413311241 in words is "ten trillion, two hundred one billion, four hundred thirteen million, three hundred eleven thousand, two hundred forty-one".