314133100031232 has 144 divisors (see below), whose sum is σ = 983590773137280. Its totient is φ = 98551560757248.

The previous prime is 314133100031213. The next prime is 314133100031239. The reversal of 314133100031232 is 232130001331413.

314133100031232 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 3 + 310 + 0 + 0 + 312 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 314133100031196 and 314133100031205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314133100031239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1336573588 + ... + 1336808595.

It is an arithmetic number, because the mean of its divisors is an integer number (6830491480120).

Almost surely, 2^{314133100031232} is an apocalyptic number.

314133100031232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314133100031232 is an abundant number, since it is smaller than the sum of its proper divisors (669457673106048).

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

314133100031232 is a wasteful number, since it uses less digits than its factorization.

314133100031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673382225 (or 2673382205 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 314133100031232 its reverse (232130001331413), we get a palindrome (546263101362645).

The spelling of 314133100031232 in words is "three hundred fourteen trillion, one hundred thirty-three billion, one hundred million, thirty-one thousand, two hundred thirty-two".