31313134100 has 72 divisors (see below), whose sum is σ = 70274835456. Its totient is φ = 12098160000.

The previous prime is 31313134081. The next prime is 31313134141. The reversal of 31313134100 is 143131313.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1667765 + ... + 1686435.

Almost surely, 2^31313134100 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 31313134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35137417728).

31313134100 is an abundant number, since it is smaller than the sum of its proper divisors (38961701356).

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

31313134100 is a wasteful number, since it uses less digits than its factorization.

31313134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19257 (or 19250 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31313134100 its reverse (143131313), we get a palindrome (31456265413).

The spelling of 31313134100 in words is "thirty-one billion, three hundred thirteen million, one hundred thirty-four thousand, one hundred".