13300213332131 has 8 divisors (see below), whose sum is σ = 14509527553584. Its totient is φ = 12090933097120.

The previous prime is 13300213332103. The next prime is 13300213332163. The reversal of 13300213332131 is 13123331200331.

13300213332131 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 a de Polignac number, because none of the positive numbers 2^k-13300213332131 is a prime.

It is a super-3 number, since 3×13300213332131³ (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 self number, because there is not a number n which added to its sum of digits gives 13300213332131.

It is not an unprimeable number, because it can be changed into a prime (13300213338131) 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, 7674896 + ... + 9246861.

It is an arithmetic number, because the mean of its divisors is an integer number (1813690944198).

Almost surely, 2^{13300213332131} is an apocalyptic number.

13300213332131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13300213332131 is a deficient number, since it is larger than the sum of its proper divisors (1209314221453).

13300213332131 is a wasteful number, since it uses less digits than its factorization.

13300213332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16993221.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 13300213332131 its reverse (13123331200331), we get a palindrome (26423544532462).

The spelling of 13300213332131 in words is "thirteen trillion, three hundred billion, two hundred thirteen million, three hundred thirty-two thousand, one hundred thirty-one".