31131747681120 has 288 divisors, whose sum is σ = 112510107597888. Its totient is φ = 7811806593024.

The previous prime is 31131747681101. The next prime is 31131747681191. The reversal of 31131747681120 is 2118674713113.

31131747681120 is a `hidden beast` number, since 31 + 1 + 31 + 7 + 476 + 8 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 117788157 + ... + 118052163.

It is an arithmetic number, because the mean of its divisors is an integer number (390660095826).

Almost surely, 2^{31131747681120} is an apocalyptic number.

31131747681120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31131747681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56255053798944).

31131747681120 is an abundant number, since it is smaller than the sum of its proper divisors (81378359916768).

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

31131747681120 is a wasteful number, since it uses less digits than its factorization.

31131747681120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268862 (or 268851 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 31131747681120 in words is "thirty-one trillion, one hundred thirty-one billion, seven hundred forty-seven million, six hundred eighty-one thousand, one hundred twenty".