213121213323012 has 36 divisors (see below), whose sum is σ = 551862654015036. Its totient is φ = 69307711649280.

The previous prime is 213121213322987. The next prime is 213121213323013. The reversal of 213121213323012 is 210323312121312.

213121213323012 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 1 + 21 + 332 + 301 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60941504702016 + 152179708620996 = 7806504^2 + 12336114^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×213121213323012² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213121213323013) 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, 72195531493 + ... + 72195534444.

Almost surely, 2^{213121213323012} is an apocalyptic number.

It is an amenable number.

213121213323012 is an abundant number, since it is smaller than the sum of its proper divisors (338741440692024).

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

213121213323012 is a wasteful number, since it uses less digits than its factorization.

213121213323012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144391065988 (or 144391065983 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213121213323012 its reverse (210323312121312), we get a palindrome (423444525444324).

The spelling of 213121213323012 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred twenty-three thousand, twelve".