213414150205100 has 72 divisors (see below), whose sum is σ = 499814303097648. Its totient is φ = 78628139884800.

The previous prime is 213414150205043. The next prime is 213414150205103. The reversal of 213414150205100 is 1502051414312.

It is a happy number.

213414150205100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213414150205103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177453554 + ... + 178652153.

Almost surely, 2^{213414150205100} is an apocalyptic number.

213414150205100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213414150205100 is an abundant number, since it is smaller than the sum of its proper divisors (286400152892548).

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

213414150205100 is a wasteful number, since it uses less digits than its factorization.

213414150205100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356106195 (or 356106188 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 213414150205100 in words is "two hundred thirteen trillion, four hundred fourteen billion, one hundred fifty million, two hundred five thousand, one hundred".