213553442551041 has 12 divisors (see below), whose sum is σ = 308466223104468. Its totient is φ = 142368897353184.

The previous prime is 213553442551019. The next prime is 213553442551081. The reversal of 213553442551041 is 140155244355312.

213553442551041 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 5 + 344 + 255 + 10 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95303672769600 + 118249769781441 = 9762360^2 + 10874271^2 .

It is not a de Polignac number, because 213553442551041 - 2³³ = 213544852616449 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (213553442551081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24281631 + ... + 31885803.

It is an arithmetic number, because the mean of its divisors is an integer number (25705518592039).

Almost surely, 2^{213553442551041} is an apocalyptic number.

It is an amenable number.

213553442551041 is a deficient number, since it is larger than the sum of its proper divisors (94912780553427).

213553442551041 is a wasteful number, since it uses less digits than its factorization.

213553442551041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10724592 (or 10724589 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 213553442551041 in words is "two hundred thirteen trillion, five hundred fifty-three billion, four hundred forty-two million, five hundred fifty-one thousand, forty-one".