21314122141312 has 128 divisors (see below), whose sum is σ = 57011550825600. Its totient is φ = 7665418506240.

The previous prime is 21314122141307. The next prime is 21314122141331.

21314122141312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83046987 + ... + 83303242.

It is an arithmetic number, because the mean of its divisors is an integer number (445402740825).

Almost surely, 2^{21314122141312} is an apocalyptic number.

21314122141312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21314122141312 is an abundant number, since it is smaller than the sum of its proper divisors (35697428684288).

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

21314122141312 is a wasteful number, since it uses less digits than its factorization.

21314122141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166350274 (or 166350262 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 2131412 and 2141312, that added together give a palindrome (4272724).

The spelling of 21314122141312 in words is "twenty-one trillion, three hundred fourteen billion, one hundred twenty-two million, one hundred forty-one thousand, three hundred twelve".