31112323113000 has 256 divisors, whose sum is σ = 98676188582400. Its totient is φ = 8160488294400.

The previous prime is 31112323112987. The next prime is 31112323113083. The reversal of 31112323113000 is 31132321113.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44451757 + ... + 45146243.

It is an arithmetic number, because the mean of its divisors is an integer number (385453861650).

Almost surely, 2^{31112323113000} is an apocalyptic number.

31112323113000 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 31112323113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49338094291200).

31112323113000 is an abundant number, since it is smaller than the sum of its proper divisors (67563865469400).

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

31112323113000 is a wasteful number, since it uses less digits than its factorization.

31112323113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694757 (or 694743 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 31112323113000 its reverse (31132321113), we get a palindrome (31143455434113).

The spelling of 31112323113000 in words is "thirty-one trillion, one hundred twelve billion, three hundred twenty-three million, one hundred thirteen thousand".