13303310011331 has 16 divisors (see below), whose sum is σ = 13384692937824. Its totient is φ = 13222198370304.

The previous prime is 13303310011279. The next prime is 13303310011361. The reversal of 13303310011331 is 13311001330331.

It is a cyclic number.

It is not a de Polignac number, because 13303310011331 - 2⁶ = 13303310011267 is a prime.

It is a super-3 number, since 3×13303310011331³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13303310011297 and 13303310011306.

It is not an unprimeable number, because it can be changed into a prime (13303310011361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433359575 + ... + 433390271.

It is an arithmetic number, because the mean of its divisors is an integer number (836543308614).

Almost surely, 2^{13303310011331} is an apocalyptic number.

13303310011331 is a deficient number, since it is larger than the sum of its proper divisors (81382926493).

13303310011331 is a wasteful number, since it uses less digits than its factorization.

13303310011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35030.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 13303310011331 its reverse (13311001330331), we get a palindrome (26614311341662).

The spelling of 13303310011331 in words is "thirteen trillion, three hundred three billion, three hundred ten million, eleven thousand, three hundred thirty-one".