31313302020 has 1296 divisors, whose sum is σ = 136528230384. Its totient is φ = 5748019200.

The previous prime is 31313302019. The next prime is 31313302021. The reversal of 31313302020 is 2020331313.

31313302020 is a `hidden beast` number, since 3 + 131 + 330 + 202 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31313302019) and next prime (31313302021).

It can be written as a sum of positive squares in 8 ways, for example, as 3497066496 + 27816235524 = 59136^2 + 166782^2 .

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 = 31313301984 and 31313302002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31313302021) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 513332790 + ... + 513332850.

Almost surely, 2^31313302020 is an apocalyptic number.

31313302020 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 31313302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68264115192).

31313302020 is an abundant number, since it is smaller than the sum of its proper divisors (105214928364).

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

31313302020 is a wasteful number, since it uses less digits than its factorization.

31313302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31313302020 its reverse (2020331313), we get a palindrome (33333633333).

It can be divided in two parts, 31313 and 302020, that added together give a palindrome (333333).

The spelling of 31313302020 in words is "thirty-one billion, three hundred thirteen million, three hundred two thousand, twenty".