312313302003100 has 72 divisors (see below), whose sum is σ = 679167724233600. Its totient is φ = 124658459750400.

The previous prime is 312313302003061. The next prime is 312313302003103. The reversal of 312313302003100 is 1300203313213.

It is a super-2 number, since 2×312313302003100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312313302003103) 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 23 ways as a sum of consecutive naturals, for example, 1059831780 + ... + 1060126420.

It is an arithmetic number, because the mean of its divisors is an integer number (9432885058800).

Almost surely, 2^{312313302003100} is an apocalyptic number.

It is an amenable number.

312313302003100 is an abundant number, since it is smaller than the sum of its proper divisors (366854422230500).

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

312313302003100 is a wasteful number, since it uses less digits than its factorization.

312313302003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317263 (or 317256 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 312313302003100 its reverse (1300203313213), we get a palindrome (313613505316313).

The spelling of 312313302003100 in words is "three hundred twelve trillion, three hundred thirteen billion, three hundred two million, three thousand, one hundred".