312313120412010 has 16 divisors (see below), whose sum is σ = 749551488988896. Its totient is φ = 83283498776528.

The previous prime is 312313120411987. The next prime is 312313120412017. The reversal of 312313120412010 is 10214021313213.

It is a super-3 number, since 3×312313120412010³ (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312313120412017) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5205218673504 + ... + 5205218673563.

It is an arithmetic number, because the mean of its divisors is an integer number (46846968061806).

Almost surely, 2^{312313120412010} is an apocalyptic number.

312313120412010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312313120412010 is an abundant number, since it is smaller than the sum of its proper divisors (437238368576886).

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

312313120412010 is a wasteful number, since it uses less digits than its factorization.

312313120412010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10410437347077.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 312313120412010 its reverse (10214021313213), we get a palindrome (322527141725223).

The spelling of 312313120412010 in words is "three hundred twelve trillion, three hundred thirteen billion, one hundred twenty million, four hundred twelve thousand, ten".