213402100431312 has 80 divisors (see below), whose sum is σ = 659661763458880. Its totient is φ = 65662184746368.

The previous prime is 213402100431287. The next prime is 213402100431409. The reversal of 213402100431312 is 213134001204312.

213402100431312 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 0 + 210 + 0 + 431 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18999469138 + ... + 18999480369.

It is an arithmetic number, because the mean of its divisors is an integer number (8245772043236).

Almost surely, 2^{213402100431312} is an apocalyptic number.

It is an amenable number.

213402100431312 is an abundant number, since it is smaller than the sum of its proper divisors (446259663027568).

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

213402100431312 is a wasteful number, since it uses less digits than its factorization.

213402100431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37998949537 (or 37998949525 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213402100431312 its reverse (213134001204312), we get a palindrome (426536101635624).

The spelling of 213402100431312 in words is "two hundred thirteen trillion, four hundred two billion, one hundred million, four hundred thirty-one thousand, three hundred twelve".