312312133101020 has 36 divisors (see below), whose sum is σ = 710186702674680. Its totient is φ = 115315249143744.

The previous prime is 312312133101011. The next prime is 312312133101029. The reversal of 312312133101020 is 20101331213213.

It is an interprime number because it is at equal distance from previous prime (312312133101011) and next prime (312312133101029).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312312133101029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46200016310 + ... + 46200023069.

It is an arithmetic number, because the mean of its divisors is an integer number (19727408407630).

Almost surely, 2^{312312133101020} is an apocalyptic number.

It is an amenable number.

312312133101020 is an abundant number, since it is smaller than the sum of its proper divisors (397874569573660).

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

312312133101020 is a wasteful number, since it uses less digits than its factorization.

312312133101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92400039414 (or 92400039399 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 312312133101020 its reverse (20101331213213), we get a palindrome (332413464314233).

The spelling of 312312133101020 in words is "three hundred twelve trillion, three hundred twelve billion, one hundred thirty-three million, one hundred one thousand, twenty".