31306629731328 has 704 divisors, whose sum is σ = 113545765509120. Its totient is φ = 8317088169984.

The previous prime is 31306629731327. The next prime is 31306629731357. The reversal of 31306629731328 is 82313792660313.

31306629731328 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 6 + 629 + 7 + 3 + 1 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31306629731327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273021975 + ... + 273136617.

Almost surely, 2^{31306629731328} 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 31306629731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56772882754560).

31306629731328 is an abundant number, since it is smaller than the sum of its proper divisors (82239135777792).

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

31306629731328 is a wasteful number, since it uses less digits than its factorization.

31306629731328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114779 (or 114755 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 31306629731328 in words is "thirty-one trillion, three hundred six billion, six hundred twenty-nine million, seven hundred thirty-one thousand, three hundred twenty-eight".