321214134220301 has 64 divisors (see below), whose sum is σ = 391410824970240. Its totient is φ = 257808943687680.

The previous prime is 321214134220249. The next prime is 321214134220327. The reversal of 321214134220301 is 103022431412123.

It is a happy number.

It is not a de Polignac number, because 321214134220301 - 2¹⁴ = 321214134203917 is a prime.

It is a super-3 number, since 3×321214134220301³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321214134220391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7612951061 + ... + 7612993253.

It is an arithmetic number, because the mean of its divisors is an integer number (6115794140160).

Almost surely, 2^{321214134220301} is an apocalyptic number.

321214134220301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

321214134220301 is a deficient number, since it is larger than the sum of its proper divisors (70196690749939).

321214134220301 is a wasteful number, since it uses less digits than its factorization.

321214134220301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50754.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 321214134220301 its reverse (103022431412123), we get a palindrome (424236565632424).

The spelling of 321214134220301 in words is "three hundred twenty-one trillion, two hundred fourteen billion, one hundred thirty-four million, two hundred twenty thousand, three hundred one".