213705131186600 has 96 divisors (see below), whose sum is σ = 527582097283320. Its totient is φ = 80225781841920.

The previous prime is 213705131186581. The next prime is 213705131186611. The reversal of 213705131186600 is 6681131507312.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 332677475524 + 213372453711076 = 576782^2 + 14607274^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87828767 + ... + 90229166.

Almost surely, 2^{213705131186600} is an apocalyptic number.

213705131186600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213705131186600 is an abundant number, since it is smaller than the sum of its proper divisors (313876966096720).

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

213705131186600 is a wasteful number, since it uses less digits than its factorization.

213705131186600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178058319 (or 178058310 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 213705131186600 in words is "two hundred thirteen trillion, seven hundred five billion, one hundred thirty-one million, one hundred eighty-six thousand, six hundred".