13310266201331 has 18 divisors (see below), whose sum is σ = 14642895259188. Its totient is φ = 12098910987900.

The previous prime is 13310266201327. The next prime is 13310266201361.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13310266201331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13310266201331 - 2² = 13310266201327 is a prime.

It is a super-2 number, since 2×13310266201331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13310266201301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1464110096 + ... + 1464119186.

It is an arithmetic number, because the mean of its divisors is an integer number (813494181066).

Almost surely, 2^{13310266201331} is an apocalyptic number.

13310266201331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13310266201331 is a deficient number, since it is larger than the sum of its proper divisors (1332629057857).

13310266201331 is an frugal number, since it uses more digits than its factorization.

13310266201331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18237 (or 9102 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

It can be divided in two parts, 1331026 and 6201331, that added together give a palindrome (7532357).

The spelling of 13310266201331 in words is "thirteen trillion, three hundred ten billion, two hundred sixty-six million, two hundred one thousand, three hundred thirty-one".