214020303200431 has 64 divisors (see below), whose sum is σ = 276531586007040. Its totient is φ = 161085335195520.

The previous prime is 214020303200411. The next prime is 214020303200467. The reversal of 214020303200431 is 134002303020412.

It is a cyclic number.

It is not a de Polignac number, because 214020303200431 - 2⁵ = 214020303200399 is a prime.

It is a super-2 number, since 2×214020303200431² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214020303200396 and 214020303200405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214020303200401) 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 63 ways as a sum of consecutive naturals, for example, 4257983806 + ... + 4258034068.

It is an arithmetic number, because the mean of its divisors is an integer number (4320806031360).

Almost surely, 2^{214020303200431} is an apocalyptic number.

214020303200431 is a deficient number, since it is larger than the sum of its proper divisors (62511282806609).

214020303200431 is a wasteful number, since it uses less digits than its factorization.

214020303200431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75956.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 214020303200431 its reverse (134002303020412), we get a palindrome (348022606220843).

The spelling of 214020303200431 in words is "two hundred fourteen trillion, twenty billion, three hundred three million, two hundred thousand, four hundred thirty-one".