312033200130 has 80 divisors (see below), whose sum is σ = 840293369784. Its totient is φ = 83082827520.

The previous prime is 312033200111. The next prime is 312033200161. The reversal of 312033200130 is 31002330213.

312033200130 is a `hidden beast` number, since 312 + 0 + 3 + 320 + 0 + 1 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 284672401209 + 27360798921 = 533547^2 + 165411^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244014 + ... + 826806.

Almost surely, 2^312033200130 is an apocalyptic number.

312033200130 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 312033200130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420146684892).

312033200130 is an abundant number, since it is smaller than the sum of its proper divisors (528260169654).

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

312033200130 is a wasteful number, since it uses less digits than its factorization.

312033200130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583473 (or 583464 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 312033200130 its reverse (31002330213), we get a palindrome (343035530343).

The spelling of 312033200130 in words is "three hundred twelve billion, thirty-three million, two hundred thousand, one hundred thirty".