314341122334100 has 144 divisors (see below), whose sum is σ = 702075344593728. Its totient is φ = 122112484623360.

The previous prime is 314341122334093. The next prime is 314341122334103. The reversal of 314341122334100 is 1433221143413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314341122334103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1191804839 + ... + 1192068561.

Almost surely, 2^{314341122334100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314341122334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351037672296864).

314341122334100 is an abundant number, since it is smaller than the sum of its proper divisors (387734222259628).

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

314341122334100 is a wasteful number, since it uses less digits than its factorization.

314341122334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266314 (or 266307 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 314341122334100 its reverse (1433221143413), we get a palindrome (315774343477513).

The spelling of 314341122334100 in words is "three hundred fourteen trillion, three hundred forty-one billion, one hundred twenty-two million, three hundred thirty-four thousand, one hundred".