321213142334010 has 128 divisors (see below), whose sum is σ = 823910020254720. Its totient is φ = 79862612235264.

The previous prime is 321213142333969. The next prime is 321213142334039. The reversal of 321213142334010 is 10433241312123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 3262090797 + ... + 3262189263.

It is an arithmetic number, because the mean of its divisors is an integer number (6436797033240).

Almost surely, 2^{321213142334010} is an apocalyptic number.

321213142334010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321213142334010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411955010127360).

321213142334010 is an abundant number, since it is smaller than the sum of its proper divisors (502696877920710).

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

321213142334010 is a wasteful number, since it uses less digits than its factorization.

321213142334010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158380.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 321213142334010 its reverse (10433241312123), we get a palindrome (331646383646133).

The spelling of 321213142334010 in words is "three hundred twenty-one trillion, two hundred thirteen billion, one hundred forty-two million, three hundred thirty-four thousand, ten".