213041310034401 has 64 divisors (see below), whose sum is σ = 324577615368960. Its totient is φ = 138005440865280.

The previous prime is 213041310034373. The next prime is 213041310034457. The reversal of 213041310034401 is 104430013140312.

213041310034401 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 4 + 1 + 310 + 0 + 344 + 0 + 1 = 666.

It is not a de Polignac number, because 213041310034401 - 2⁵ = 213041310034369 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (213041310034001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3377984070 + ... + 3378047136.

It is an arithmetic number, because the mean of its divisors is an integer number (5071525240140).

Almost surely, 2^{213041310034401} is an apocalyptic number.

It is an amenable number.

213041310034401 is a deficient number, since it is larger than the sum of its proper divisors (111536305334559).

213041310034401 is a wasteful number, since it uses less digits than its factorization.

213041310034401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67551 (or 67545 counting only the distinct ones).

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

Adding to 213041310034401 its reverse (104430013140312), we get a palindrome (317471323174713).

The spelling of 213041310034401 in words is "two hundred thirteen trillion, forty-one billion, three hundred ten million, thirty-four thousand, four hundred one".