31012033100112 has 240 divisors, whose sum is σ = 90209100243600. Its totient is φ = 9933593886720.

The previous prime is 31012033100033. The next prime is 31012033100123. The reversal of 31012033100112 is 21100133021013.

31012033100112 is a `hidden beast` number, since 310 + 1 + 20 + 331 + 0 + 0 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4212526373136 + 26799506726976 = 2052444^2 + 5176824^2 .

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 47 ways as a sum of consecutive naturals, for example, 3837643912 + ... + 3837651992.

It is an arithmetic number, because the mean of its divisors is an integer number (375871251015).

Almost surely, 2^{31012033100112} 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 31012033100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45104550121800).

31012033100112 is an abundant number, since it is smaller than the sum of its proper divisors (59197067143488).

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

31012033100112 is a wasteful number, since it uses less digits than its factorization.

31012033100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12366 (or 12357 counting only the distinct ones).

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

Adding to 31012033100112 its reverse (21100133021013), we get a palindrome (52112166121125).

The spelling of 31012033100112 in words is "thirty-one trillion, twelve billion, thirty-three million, one hundred thousand, one hundred twelve".