10313066213201 has 8 divisors (see below), whose sum is σ = 10669231417320. Its totient is φ = 9956937157888.

The previous prime is 10313066213173. The next prime is 10313066213221. The reversal of 10313066213201 is 10231266031301.

10313066213201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3156932954176 + 7156133259025 = 1776776^2 + 2675095^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10313066213201 - 2⁶ = 10313066213137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10313066213221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8456126 + ... + 9598551.

It is an arithmetic number, because the mean of its divisors is an integer number (1333653927165).

Almost surely, 2^{10313066213201} is an apocalyptic number.

It is an amenable number.

10313066213201 is a deficient number, since it is larger than the sum of its proper divisors (356165204119).

10313066213201 is a wasteful number, since it uses less digits than its factorization.

10313066213201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18074403.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 10313066213201 in words is "ten trillion, three hundred thirteen billion, sixty-six million, two hundred thirteen thousand, two hundred one".