312313303020 has 192 divisors, whose sum is σ = 892265020416. Its totient is φ = 81611980800.

The previous prime is 312313303007. The next prime is 312313303063. The reversal of 312313303020 is 20303313213.

It is a super-2 number, since 2×312313303020² (a number of 24 digits) contains 22 as substring.

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, 263110867 + ... + 263112053.

It is an arithmetic number, because the mean of its divisors is an integer number (4647213648).

Almost surely, 2^312313303020 is an apocalyptic number.

312313303020 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 312313303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446132510208).

312313303020 is an abundant number, since it is smaller than the sum of its proper divisors (579951717396).

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

312313303020 is a wasteful number, since it uses less digits than its factorization.

312313303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 312313303020 its reverse (20303313213), we get a palindrome (332616616233).

The spelling of 312313303020 in words is "three hundred twelve billion, three hundred thirteen million, three hundred three thousand, twenty".