31003140100 has 72 divisors (see below), whose sum is σ = 67782536640. Its totient is φ = 12308315520.

The previous prime is 31003140061. The next prime is 31003140149. The reversal of 31003140100 is 104130013.

It is a super-2 number, since 2×31003140100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11579962 + ... + 11582638.

It is an arithmetic number, because the mean of its divisors is an integer number (941424120).

Almost surely, 2^31003140100 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 31003140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33891268320).

31003140100 is an abundant number, since it is smaller than the sum of its proper divisors (36779396540).

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

31003140100 is a wasteful number, since it uses less digits than its factorization.

31003140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31003140100 its reverse (104130013), we get a palindrome (31107270113).

The spelling of 31003140100 in words is "thirty-one billion, three million, one hundred forty thousand, one hundred".