31033313202112 has 112 divisors (see below), whose sum is σ = 67319488415872. Its totient is φ = 14107012254720.

The previous prime is 31033313202061. The next prime is 31033313202131. The reversal of 31033313202112 is 21120231333013.

It is a super-2 number, since 2×31033313202112² (a number of 28 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372941503 + ... + 373024705.

It is an arithmetic number, because the mean of its divisors is an integer number (601066860856).

Almost surely, 2^{31033313202112} is an apocalyptic number.

31033313202112 is a gapful number since it is divisible by the number (32) 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 31033313202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33659744207936).

31033313202112 is an abundant number, since it is smaller than the sum of its proper divisors (36286175213760).

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

31033313202112 is a wasteful number, since it uses less digits than its factorization.

31033313202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89986 (or 89976 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 31033313202112 its reverse (21120231333013), we get a palindrome (52153544535125).

The spelling of 31033313202112 in words is "thirty-one trillion, thirty-three billion, three hundred thirteen million, two hundred two thousand, one hundred twelve".