213110011312 has 40 divisors (see below), whose sum is σ = 454896880272. Its totient is φ = 95909088000.

The previous prime is 213110011307. The next prime is 213110011319.

It is a happy number.

213110011312 is nontrivially palindromic in base 10.

213110011312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×213110011312³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (213110011319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5976543 + ... + 6012094.

Almost surely, 2^213110011312 is an apocalyptic number.

213110011312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213110011312 is an abundant number, since it is smaller than the sum of its proper divisors (241786868960).

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

213110011312 is a wasteful number, since it uses less digits than its factorization.

213110011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11988757 (or 11988751 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 2131100 and 11312, that added together give a palindrome (2142412).

The spelling of 213110011312 in words is "two hundred thirteen billion, one hundred ten million, eleven thousand, three hundred twelve".