213300131331 has 8 divisors (see below), whose sum is σ = 325028771584. Its totient is φ = 121885789320.

The previous prime is 213300131329. The next prime is 213300131423. The reversal of 213300131331 is 133131003312.

213300131331 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 not a de Polignac number, because 213300131331 - 2¹ = 213300131329 is a prime.

It is a super-2 number, since 2×213300131331² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 10157149111 = 213300131331 / (2 + 1 + 3 + 3 + 0 + 0 + 1 + 3 + 1 + 3 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213300131298 and 213300131307.

It is not an unprimeable number, because it can be changed into a prime (213300031331) 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, 5078574535 + ... + 5078574576.

It is an arithmetic number, because the mean of its divisors is an integer number (40628596448).

Almost surely, 2^213300131331 is an apocalyptic number.

213300131331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213300131331 is a deficient number, since it is larger than the sum of its proper divisors (111728640253).

213300131331 is a wasteful number, since it uses less digits than its factorization.

213300131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10157149121.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 213300131331 its reverse (133131003312), we get a palindrome (346431134643).

The spelling of 213300131331 in words is "two hundred thirteen billion, three hundred million, one hundred thirty-one thousand, three hundred thirty-one".