213106314414510 has 96 divisors (see below), whose sum is σ = 636260000987520. Its totient is φ = 48943076990400.

The previous prime is 213106314414503. The next prime is 213106314414527. The reversal of 213106314414510 is 15414413601312.

213106314414510 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 63 + 144 + 1 + 451 + 0 = 666.

213106314414510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5664689176 + ... + 5664726795.

It is an arithmetic number, because the mean of its divisors is an integer number (6627708343620).

Almost surely, 2^{213106314414510} is an apocalyptic number.

213106314414510 is an abundant number, since it is smaller than the sum of its proper divisors (423153686573010).

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

213106314414510 is a wasteful number, since it uses less digits than its factorization.

213106314414510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11329416014 (or 11329416011 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 213106314414510 in words is "two hundred thirteen trillion, one hundred six billion, three hundred fourteen million, four hundred fourteen thousand, five hundred ten".