213402401320 has 16 divisors (see below), whose sum is σ = 480155403060. Its totient is φ = 85360960512.

The previous prime is 213402401309. The next prime is 213402401323. The reversal of 213402401320 is 23104204312.

213402401320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 187646645124 + 25755756196 = 433182^2 + 160486^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213402401291 and 213402401300.

It is not an unprimeable number, because it can be changed into a prime (213402401323) 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 3 ways as a sum of consecutive naturals, for example, 2667529977 + ... + 2667530056.

Almost surely, 2^213402401320 is an apocalyptic number.

213402401320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213402401320 is an abundant number, since it is smaller than the sum of its proper divisors (266753001740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213402401320 is a wasteful number, since it uses less digits than its factorization.

213402401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335060044 (or 5335060040 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 213402401320 its reverse (23104204312), we get a palindrome (236506605632).

The spelling of 213402401320 in words is "two hundred thirteen billion, four hundred two million, four hundred one thousand, three hundred twenty".