31014413300 has 72 divisors (see below), whose sum is σ = 72694394136. Its totient is φ = 11417333760.

The previous prime is 31014413293. The next prime is 31014413329. The reversal of 31014413300 is 331441013.

It can be written as a sum of positive squares in 12 ways, for example, as 26064165136 + 4950248164 = 161444^2 + 70358^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 402704 + ... + 473496.

It is an arithmetic number, because the mean of its divisors is an integer number (1009644363).

Almost surely, 2^31014413300 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 31014413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36347197068).

31014413300 is an abundant number, since it is smaller than the sum of its proper divisors (41679980836).

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

31014413300 is a wasteful number, since it uses less digits than its factorization.

31014413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71157 (or 71150 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31014413300 its reverse (331441013), we get a palindrome (31345854313).

The spelling of 31014413300 in words is "thirty-one billion, fourteen million, four hundred thirteen thousand, three hundred".