31102302312300 has 144 divisors (see below), whose sum is σ = 92089722130560. Its totient is φ = 8100394498560.

The previous prime is 31102302312281. The next prime is 31102302312313. The reversal of 31102302312300 is 321320320113.

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 47 ways as a sum of consecutive naturals, for example, 166613416 + ... + 166799984.

It is an arithmetic number, because the mean of its divisors is an integer number (639511959240).

Almost surely, 2^{31102302312300} is an apocalyptic number.

31102302312300 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 31102302312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46044861065280).

31102302312300 is an abundant number, since it is smaller than the sum of its proper divisors (60987419818260).

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

31102302312300 is a wasteful number, since it uses less digits than its factorization.

31102302312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199552 (or 199545 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31102302312300 its reverse (321320320113), we get a palindrome (31423622632413).

The spelling of 31102302312300 in words is "thirty-one trillion, one hundred two billion, three hundred two million, three hundred twelve thousand, three hundred".