213114828411312 has 40 divisors (see below), whose sum is σ = 582931736539056. Its totient is φ = 66859554011136.

The previous prime is 213114828411301. The next prime is 213114828411361.

213114828411312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213114828411312² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130585065613 + ... + 130585067244.

Almost surely, 2^{213114828411312} is an apocalyptic number.

It is an amenable number.

213114828411312 is an abundant number, since it is smaller than the sum of its proper divisors (369816908127744).

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

213114828411312 is a wasteful number, since it uses less digits than its factorization.

213114828411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261170132885 (or 261170132879 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The spelling of 213114828411312 in words is "two hundred thirteen trillion, one hundred fourteen billion, eight hundred twenty-eight million, four hundred eleven thousand, three hundred twelve".