312303321023100 has 144 divisors (see below), whose sum is σ = 985976644455936. Its totient is φ = 75691939136000.

The previous prime is 312303321023087. The next prime is 312303321023131. The reversal of 312303321023100 is 1320123303213.

It is a super-2 number, since 2×312303321023100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2695165 + ... + 25137035.

It is an arithmetic number, because the mean of its divisors is an integer number (6847060030944).

Almost surely, 2^{312303321023100} is an apocalyptic number.

312303321023100 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 312303321023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492988322227968).

312303321023100 is an abundant number, since it is smaller than the sum of its proper divisors (673673323432836).

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

312303321023100 is a wasteful number, since it uses less digits than its factorization.

312303321023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22446116 (or 22446109 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 312303321023100 its reverse (1320123303213), we get a palindrome (313623444326313).

The spelling of 312303321023100 in words is "three hundred twelve trillion, three hundred three billion, three hundred twenty-one million, twenty-three thousand, one hundred".