31231320011100 has 432 divisors, whose sum is σ = 109318183438464. Its totient is φ = 7392280896000.

The previous prime is 31231320011077. The next prime is 31231320011173. The reversal of 31231320011100 is 111002313213.

31231320011100 is a `hidden beast` number, since 3 + 1 + 231 + 320 + 0 + 1 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1217914879 + ... + 1217940521.

It is an arithmetic number, because the mean of its divisors is an integer number (253051350552).

Almost surely, 2^{31231320011100} is an apocalyptic number.

31231320011100 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 31231320011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54659091719232).

31231320011100 is an abundant number, since it is smaller than the sum of its proper divisors (78086863427364).

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

31231320011100 is a wasteful number, since it uses less digits than its factorization.

31231320011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28578 (or 28568 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31231320011100 its reverse (111002313213), we get a palindrome (31342322324313).

The spelling of 31231320011100 in words is "thirty-one trillion, two hundred thirty-one billion, three hundred twenty million, eleven thousand, one hundred".