13033130011331 has 8 divisors (see below), whose sum is σ = 13385448920400. Its totient is φ = 12680814899808.

The previous prime is 13033130011273. The next prime is 13033130011373. The reversal of 13033130011331 is 13311003133031.

13033130011331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13033130011331 - 2¹⁸ = 13033129749187 is a prime.

It is a super-3 number, since 3×13033130011331³ (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 = 13033130011297 and 13033130011306.

It is not an unprimeable number, because it can be changed into a prime (13033130011381) 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, 6865145 + ... + 8555493.

It is an arithmetic number, because the mean of its divisors is an integer number (1673181115050).

Almost surely, 2^{13033130011331} is an apocalyptic number.

13033130011331 is a deficient number, since it is larger than the sum of its proper divisors (352318909069).

13033130011331 is a wasteful number, since it uses less digits than its factorization.

13033130011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898773.

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

Adding to 13033130011331 its reverse (13311003133031), we get a palindrome (26344133144362).

The spelling of 13033130011331 in words is "thirteen trillion, thirty-three billion, one hundred thirty million, eleven thousand, three hundred thirty-one".