314331342201100 has 144 divisors (see below), whose sum is σ = 814095690541056. Its totient is φ = 103001313888000.

The previous prime is 314331342201043. The next prime is 314331342201101. The reversal of 314331342201100 is 1102243133413.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (314331342201101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11889090 + ... + 27749110.

It is an arithmetic number, because the mean of its divisors is an integer number (5653442295424).

Almost surely, 2^{314331342201100} 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 314331342201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407047845270528).

314331342201100 is an abundant number, since it is smaller than the sum of its proper divisors (499764348339956).

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

314331342201100 is a wasteful number, since it uses less digits than its factorization.

314331342201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15861296 (or 15861289 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 314331342201100 its reverse (1102243133413), we get a palindrome (315433585334513).

The spelling of 314331342201100 in words is "three hundred fourteen trillion, three hundred thirty-one billion, three hundred forty-two million, two hundred one thousand, one hundred".