31313031120 has 240 divisors, whose sum is σ = 120388544640. Its totient is φ = 7144989696.

The previous prime is 31313031103. The next prime is 31313031121. The reversal of 31313031120 is 2113031313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31313031093 and 31313031102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31313031121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3114742 + ... + 3124778.

It is an arithmetic number, because the mean of its divisors is an integer number (501618936).

Almost surely, 2^31313031120 is an apocalyptic number.

31313031120 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 31313031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60194272320).

31313031120 is an abundant number, since it is smaller than the sum of its proper divisors (89075513520).

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

31313031120 is a wasteful number, since it uses less digits than its factorization.

31313031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10682 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31313031120 its reverse (2113031313), we get a palindrome (33426062433).

The spelling of 31313031120 in words is "thirty-one billion, three hundred thirteen million, thirty-one thousand, one hundred twenty".