31013320100 has 108 divisors (see below), whose sum is σ = 78448353984. Its totient is φ = 10611155520.

The previous prime is 31013320069. The next prime is 31013320103. The reversal of 31013320100 is 102331013.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (31013320103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2458409 + ... + 2470991.

It is an arithmetic number, because the mean of its divisors is an integer number (726373648).

Almost surely, 2^31013320100 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 31013320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39224176992).

31013320100 is an abundant number, since it is smaller than the sum of its proper divisors (47435033884).

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

31013320100 is a wasteful number, since it uses less digits than its factorization.

31013320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13114 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 31013320100 its reverse (102331013), we get a palindrome (31115651113).

The spelling of 31013320100 in words is "thirty-one billion, thirteen million, three hundred twenty thousand, one hundred".