21014311341012 has 384 divisors, whose sum is σ = 58400337235968. Its totient is φ = 5810525798400.

The previous prime is 21014311341007. The next prime is 21014311341043.

21014311341012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21014311341012² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2311546587 + ... + 2311555677.

It is an arithmetic number, because the mean of its divisors is an integer number (152084211552).

Almost surely, 2^{21014311341012} is an apocalyptic number.

21014311341012 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 21014311341012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29200168617984).

21014311341012 is an abundant number, since it is smaller than the sum of its proper divisors (37386025894956).

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

21014311341012 is a wasteful number, since it uses less digits than its factorization.

21014311341012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9439 (or 9437 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 2101431 and 1341012, that added together give a palindrome (3442443).

The spelling of 21014311341012 in words is "twenty-one trillion, fourteen billion, three hundred eleven million, three hundred forty-one thousand, twelve".