31202331002112 has 144 divisors (see below), whose sum is σ = 83401965803520. Its totient is φ = 10355980032000.

The previous prime is 31202331002111. The next prime is 31202331002149. The reversal of 31202331002112 is 21120013320213.

It is a super-2 number, since 2×31202331002112² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31202331002111) by changing a digit.

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, 219430237 + ... + 219572387.

It is an arithmetic number, because the mean of its divisors is an integer number (579180318080).

Almost surely, 2^{31202331002112} is an apocalyptic number.

31202331002112 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 31202331002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41700982901760).

31202331002112 is an abundant number, since it is smaller than the sum of its proper divisors (52199634801408).

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

31202331002112 is a wasteful number, since it uses less digits than its factorization.

31202331002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143400 (or 143386 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31202331002112 its reverse (21120013320213), we get a palindrome (52322344322325).

The spelling of 31202331002112 in words is "thirty-one trillion, two hundred two billion, three hundred thirty-one million, two thousand, one hundred twelve".