31300314100 has 144 divisors (see below), whose sum is σ = 75558038976. Its totient is φ = 11159680000.

The previous prime is 31300314091. The next prime is 31300314103. The reversal of 31300314100 is 141300313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31300314103) 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 47 ways as a sum of consecutive naturals, for example, 11886384 + ... + 11889016.

It is an arithmetic number, because the mean of its divisors is an integer number (524708604).

Almost surely, 2^31300314100 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 31300314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37779019488).

31300314100 is an abundant number, since it is smaller than the sum of its proper divisors (44257724876).

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

31300314100 is a wasteful number, since it uses less digits than its factorization.

31300314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31300314100 its reverse (141300313), we get a palindrome (31441614413).

The spelling of 31300314100 in words is "thirty-one billion, three hundred million, three hundred fourteen thousand, one hundred".