213001101231201 has 48 divisors (see below), whose sum is σ = 314040845069952. Its totient is φ = 139089338438400.

The previous prime is 213001101231169. The next prime is 213001101231253. The reversal of 213001101231201 is 102132101100312.

213001101231201 is a `hidden beast` number, since 2 + 1 + 300 + 110 + 1 + 231 + 20 + 1 = 666.

213001101231201 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213001101231201 - 2⁵ = 213001101231169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213001101231301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62240556 + ... + 65573538.

It is an arithmetic number, because the mean of its divisors is an integer number (6542517605624).

Almost surely, 2^{213001101231201} is an apocalyptic number.

It is an amenable number.

213001101231201 is a deficient number, since it is larger than the sum of its proper divisors (101039743838751).

213001101231201 is a wasteful number, since it uses less digits than its factorization.

213001101231201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333734 (or 3333731 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 213001101231201 its reverse (102132101100312), we get a palindrome (315133202331513).

The spelling of 213001101231201 in words is "two hundred thirteen trillion, one billion, one hundred one million, two hundred thirty-one thousand, two hundred one".