13315440040201 has 8 divisors (see below), whose sum is σ = 14345175776904. Its totient is φ = 12286485891840.

The previous prime is 13315440040151. The next prime is 13315440040261. The reversal of 13315440040201 is 10204004451331.

It can be written as a sum of positive squares in 4 ways, for example, as 2610732082176 + 10704707958025 = 1615776^2 + 3271805^2 .

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 13315440040201 - 2¹⁵ = 13315440007433 is a prime.

It is a super-2 number, since 2×13315440040201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13315440040201.

It is not an unprimeable number, because it can be changed into a prime (13315440040261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195361696 + ... + 195429841.

It is an arithmetic number, because the mean of its divisors is an integer number (1793146972113).

Almost surely, 2^{13315440040201} is an apocalyptic number.

It is an amenable number.

13315440040201 is a deficient number, since it is larger than the sum of its proper divisors (1029735736703).

13315440040201 is a wasteful number, since it uses less digits than its factorization.

13315440040201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390794171.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 13315440040201 its reverse (10204004451331), we get a palindrome (23519444491532).

The spelling of 13315440040201 in words is "thirteen trillion, three hundred fifteen billion, four hundred forty million, forty thousand, two hundred one".