31123134434200 has 96 divisors (see below), whose sum is σ = 72574444625760. Its totient is φ = 12412623513600.

The previous prime is 31123134434191. The next prime is 31123134434221. The reversal of 31123134434200 is 243443132113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119453269 + ... + 119713531.

It is an arithmetic number, because the mean of its divisors is an integer number (755983798185).

Almost surely, 2^{31123134434200} 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 31123134434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36287222312880).

31123134434200 is an abundant number, since it is smaller than the sum of its proper divisors (41451310191560).

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

31123134434200 is a wasteful number, since it uses less digits than its factorization.

31123134434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262037 (or 262028 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 31123134434200 its reverse (243443132113), we get a palindrome (31366577566313).

The spelling of 31123134434200 in words is "thirty-one trillion, one hundred twenty-three billion, one hundred thirty-four million, four hundred thirty-four thousand, two hundred".