213100001312 has 72 divisors (see below), whose sum is σ = 468573381360. Its totient is φ = 94610705280.

The previous prime is 213100001291. The next prime is 213100001347.

213100001312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213100001312² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487139 + ... + 814557.

It is an arithmetic number, because the mean of its divisors is an integer number (6507963630).

Almost surely, 2^213100001312 is an apocalyptic number.

213100001312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213100001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234286690680).

213100001312 is an abundant number, since it is smaller than the sum of its proper divisors (255473380048).

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

213100001312 is a wasteful number, since it uses less digits than its factorization.

213100001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327526 (or 327475 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 21310000 and 1312, that added together give a palindrome (21311312).

The spelling of 213100001312 in words is "two hundred thirteen billion, one hundred million, one thousand, three hundred twelve".