312023331203130 has 384 divisors, whose sum is σ = 871740111029760. Its totient is φ = 79389177753600.

The previous prime is 312023331203107. The next prime is 312023331203191. The reversal of 312023331203130 is 31302133320213.

312023331203130 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 2 + 33 + 312 + 0 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 312023331203094 and 312023331203103.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63022282155 + ... + 63022287105.

It is an arithmetic number, because the mean of its divisors is an integer number (2270156539140).

Almost surely, 2^{312023331203130} is an apocalyptic number.

312023331203130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312023331203130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435870055514880).

312023331203130 is an abundant number, since it is smaller than the sum of its proper divisors (559716779826630).

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

312023331203130 is a wasteful number, since it uses less digits than its factorization.

312023331203130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8311 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 312023331203130 its reverse (31302133320213), we get a palindrome (343325464523343).

The spelling of 312023331203130 in words is "three hundred twelve trillion, twenty-three billion, three hundred thirty-one million, two hundred three thousand, one hundred thirty".