214312121403413 has 32 divisors (see below), whose sum is σ = 239082921627264. Its totient is φ = 192072273360000.

The previous prime is 214312121403397. The next prime is 214312121403461. The reversal of 214312121403413 is 314304121213412.

It is not a de Polignac number, because 214312121403413 - 2⁴ = 214312121403397 is a prime.

It is a super-3 number, since 3×214312121403413³ (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 214312121403413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214312121433413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27901358 + ... + 34743488.

It is an arithmetic number, because the mean of its divisors is an integer number (7471341300852).

Almost surely, 2^{214312121403413} is an apocalyptic number.

It is an amenable number.

214312121403413 is a deficient number, since it is larger than the sum of its proper divisors (24770800223851).

214312121403413 is a wasteful number, since it uses less digits than its factorization.

214312121403413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842498 (or 6842476 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 214312121403413 its reverse (314304121213412), we get a palindrome (528616242616825).

The spelling of 214312121403413 in words is "two hundred fourteen trillion, three hundred twelve billion, one hundred twenty-one million, four hundred three thousand, four hundred thirteen".