213400402354305 has 64 divisors (see below), whose sum is σ = 381310115450880. Its totient is φ = 113235416828352.

The previous prime is 213400402354261. The next prime is 213400402354331. The reversal of 213400402354305 is 503453204004312.

213400402354305 is a `hidden beast` number, since 2 + 1 + 340 + 0 + 4 + 0 + 2 + 3 + 5 + 4 + 305 = 666.

It is not a de Polignac number, because 213400402354305 - 2⁹ = 213400402353793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213400402354305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17963832 + ... + 27376998.

It is an arithmetic number, because the mean of its divisors is an integer number (5957970553920).

Almost surely, 2^{213400402354305} is an apocalyptic number.

It is an amenable number.

213400402354305 is a deficient number, since it is larger than the sum of its proper divisors (167909713096575).

213400402354305 is a wasteful number, since it uses less digits than its factorization.

213400402354305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9414035 (or 9414029 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 213400402354305 its reverse (503453204004312), we get a palindrome (716853606358617).

The spelling of 213400402354305 in words is "two hundred thirteen trillion, four hundred billion, four hundred two million, three hundred fifty-four thousand, three hundred five".