213106314414509 has 8 divisors (see below), whose sum is σ = 213248486723328. Its totient is φ = 212964143610960.

The previous prime is 213106314414503. The next prime is 213106314414527. The reversal of 213106314414509 is 905414413601312.

213106314414509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213106314414509 - 2⁴ = 213106314414493 is a prime.

It is a super-2 number, since 2×213106314414509² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213106314414509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213106314414503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562457159 + ... + 562835915.

It is an arithmetic number, because the mean of its divisors is an integer number (26656060840416).

Almost surely, 2^{213106314414509} is an apocalyptic number.

It is an amenable number.

213106314414509 is a deficient number, since it is larger than the sum of its proper divisors (142172308819).

213106314414509 is a wasteful number, since it uses less digits than its factorization.

213106314414509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752635.

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 213106314414509 in words is "two hundred thirteen trillion, one hundred six billion, three hundred fourteen million, four hundred fourteen thousand, five hundred nine".