31313231040 has 448 divisors, whose sum is σ = 124689632256. Its totient is φ = 6481133568.

The previous prime is 31313230999. The next prime is 31313231051. The reversal of 31313231040 is 4013231313.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 31313230998 and 31313231016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4626699 + ... + 4633461.

It is an arithmetic number, because the mean of its divisors is an integer number (278325072).

Almost surely, 2^31313231040 is an apocalyptic number.

31313231040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31313231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62344816128).

31313231040 is an abundant number, since it is smaller than the sum of its proper divisors (93376401216).

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

31313231040 is a wasteful number, since it uses less digits than its factorization.

31313231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6856 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 31313231040 its reverse (4013231313), we get a palindrome (35326462353).

The spelling of 31313231040 in words is "thirty-one billion, three hundred thirteen million, two hundred thirty-one thousand, forty".