312322010130 has 192 divisors, whose sum is σ = 884319901920. Its totient is φ = 76018176000.

The previous prime is 312322010093. The next prime is 312322010131. The reversal of 312322010130 is 31010223213.

312322010130 is a `hidden beast` number, since 312 + 3 + 220 + 1 + 0 + 130 = 666.

312322010130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 19434311649 + 292887698481 = 139407^2 + 541191^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312322010131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133412760 + ... + 133415100.

Almost surely, 2^312322010130 is an apocalyptic number.

312322010130 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 312322010130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442159950960).

312322010130 is an abundant number, since it is smaller than the sum of its proper divisors (571997891790).

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

312322010130 is a wasteful number, since it uses less digits than its factorization.

312322010130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312322010130 its reverse (31010223213), we get a palindrome (343332233343).

The spelling of 312322010130 in words is "three hundred twelve billion, three hundred twenty-two million, ten thousand, one hundred thirty".