213122100331 has 24 divisors (see below), whose sum is σ = 266518356480. Its totient is φ = 169379359632.

The previous prime is 213122100319. The next prime is 213122100341. The reversal of 213122100331 is 133001221312.

213122100331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213122100331 - 2²¹ = 213120003179 is a prime.

It is a super-2 number, since 2×213122100331² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 213122100299 and 213122100308.

It is not an unprimeable number, because it can be changed into a prime (213122100341) 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 23 ways as a sum of consecutive naturals, for example, 2391535 + ... + 2479048.

It is an arithmetic number, because the mean of its divisors is an integer number (11104931520).

Almost surely, 2^213122100331 is an apocalyptic number.

213122100331 is a deficient number, since it is larger than the sum of its proper divisors (53396256149).

213122100331 is a wasteful number, since it uses less digits than its factorization.

213122100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870663 (or 4870656 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213122100331 its reverse (133001221312), we get a palindrome (346123321643).

The spelling of 213122100331 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred thousand, three hundred thirty-one".