312133101000030 has 192 divisors, whose sum is σ = 866011827320640. Its totient is φ = 77769929392128.

The previous prime is 312133101000013. The next prime is 312133101000041. The reversal of 312133101000030 is 30000101331213.

It is a happy number.

312133101000030 is a `hidden beast` number, since 312 + 1 + 3 + 310 + 10 + 0 + 0 + 0 + 30 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312133100999967 and 312133101000012.

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, 2468699694 + ... + 2468826126.

It is an arithmetic number, because the mean of its divisors is an integer number (4510478267295).

Almost surely, 2^{312133101000030} is an apocalyptic number.

312133101000030 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 312133101000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433005913660320).

312133101000030 is an abundant number, since it is smaller than the sum of its proper divisors (553878726320610).

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

312133101000030 is a wasteful number, since it uses less digits than its factorization.

312133101000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146315 (or 146312 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 312133101000030 its reverse (30000101331213), we get a palindrome (342133202331243).

The spelling of 312133101000030 in words is "three hundred twelve trillion, one hundred thirty-three billion, one hundred one million, thirty", and thus it is an aban number.