314330041131330 has 256 divisors, whose sum is σ = 918086247383040. Its totient is φ = 67235103129600.

The previous prime is 314330041131311. The next prime is 314330041131343. The reversal of 314330041131330 is 33131140033413.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1473414411 + ... + 1473627729.

It is an arithmetic number, because the mean of its divisors is an integer number (3586274403840).

Almost surely, 2^{314330041131330} is an apocalyptic number.

314330041131330 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 314330041131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459043123691520).

314330041131330 is an abundant number, since it is smaller than the sum of its proper divisors (603756206251710).

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

314330041131330 is a wasteful number, since it uses less digits than its factorization.

314330041131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215705.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 314330041131330 its reverse (33131140033413), we get a palindrome (347461181164743).

The spelling of 314330041131330 in words is "three hundred fourteen trillion, three hundred thirty billion, forty-one million, one hundred thirty-one thousand, three hundred thirty".