312302130010020 has 72 divisors (see below), whose sum is σ = 947345734029240. Its totient is φ = 83277994552320.

The previous prime is 312302130009953. The next prime is 312302130010037. The reversal of 312302130010020 is 20010031203213.

312302130010020 is a `hidden beast` number, since 31 + 2 + 302 + 1 + 300 + 10 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53670891385764 + 258631238624256 = 7326042^2 + 16082016^2 .

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 = 312302130009975 and 312302130010002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20962005 + ... + 32619164.

It is an arithmetic number, because the mean of its divisors is an integer number (13157579639295).

Almost surely, 2^{312302130010020} is an apocalyptic number.

312302130010020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312302130010020 is an abundant number, since it is smaller than the sum of its proper divisors (635043604019220).

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

312302130010020 is a wasteful number, since it uses less digits than its factorization.

312302130010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53613565 (or 53613560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312302130010020 its reverse (20010031203213), we get a palindrome (332312161213233).

The spelling of 312302130010020 in words is "three hundred twelve trillion, three hundred two billion, one hundred thirty million, ten thousand, twenty".