312323402030100 has 288 divisors, whose sum is σ = 964209201411456. Its totient is φ = 77781142732800.

The previous prime is 312323402030093. The next prime is 312323402030137. The reversal of 312323402030100 is 1030204323213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10647495034 + ... + 10647524366.

It is an arithmetic number, because the mean of its divisors is an integer number (3347948616012).

Almost surely, 2^{312323402030100} is an apocalyptic number.

312323402030100 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 312323402030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482104600705728).

312323402030100 is an abundant number, since it is smaller than the sum of its proper divisors (651885799381356).

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

312323402030100 is a wasteful number, since it uses less digits than its factorization.

312323402030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45435 (or 45428 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 312323402030100 its reverse (1030204323213), we get a palindrome (313353606353313).

The spelling of 312323402030100 in words is "three hundred twelve trillion, three hundred twenty-three billion, four hundred two million, thirty thousand, one hundred".