213420100311 has 24 divisors (see below), whose sum is σ = 338005468944. Its totient is φ = 128688927360.

The previous prime is 213420100297. The next prime is 213420100319. The reversal of 213420100311 is 113001024312.

213420100311 is a `hidden beast` number, since 2 + 1 + 342 + 0 + 10 + 0 + 311 = 666.

213420100311 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 213420100311 - 2⁵ = 213420100279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213420100319) 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, 5451966 + ... + 5490971.

It is an arithmetic number, because the mean of its divisors is an integer number (14083561206).

Almost surely, 2^213420100311 is an apocalyptic number.

213420100311 is a deficient number, since it is larger than the sum of its proper divisors (124585368633).

213420100311 is a wasteful number, since it uses less digits than its factorization.

213420100311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10943151 (or 10943148 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213420100311 its reverse (113001024312), we get a palindrome (326421124623).

The spelling of 213420100311 in words is "two hundred thirteen billion, four hundred twenty million, one hundred thousand, three hundred eleven".