213306136406420 has 48 divisors (see below), whose sum is σ = 456950541792528. Its totient is φ = 83610632401920.

The previous prime is 213306136406393. The next prime is 213306136406423. The reversal of 213306136406420 is 24604631603312.

It can be written as a sum of positive squares in 8 ways, for example, as 17154739181584 + 196151397224836 = 4141828^2 + 14005406^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213306136406423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121682849 + ... + 123423368.

It is an arithmetic number, because the mean of its divisors is an integer number (9519802954011).

Almost surely, 2^{213306136406420} is an apocalyptic number.

213306136406420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213306136406420 is an abundant number, since it is smaller than the sum of its proper divisors (243644405386108).

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

213306136406420 is a wasteful number, since it uses less digits than its factorization.

213306136406420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245107100 (or 245107098 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 41.

The spelling of 213306136406420 in words is "two hundred thirteen trillion, three hundred six billion, one hundred thirty-six million, four hundred six thousand, four hundred twenty".