312100112000033 has 24 divisors (see below), whose sum is σ = 385149256823304. Its totient is φ = 251294981683200.

The previous prime is 312100111999993. The next prime is 312100112000099. The reversal of 312100112000033 is 330000211001213.

It can be written as a sum of positive squares in 4 ways, for example, as 141976923975649 + 170123188024384 = 11915407^2 + 13043128^2 .

It is not a de Polignac number, because 312100112000033 - 2⁴² = 307702065488929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312100111999975 and 312100112000020.

It is not an unprimeable number, because it can be changed into a prime (312100112300033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359134148 + ... + 360002133.

It is an arithmetic number, because the mean of its divisors is an integer number (16047885700971).

Almost surely, 2^{312100112000033} is an apocalyptic number.

It is an amenable number.

312100112000033 is a deficient number, since it is larger than the sum of its proper divisors (73049144823271).

312100112000033 is a wasteful number, since it uses less digits than its factorization.

312100112000033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719136833 (or 719136826 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 312100112000033 its reverse (330000211001213), we get a palindrome (642100323001246).

The spelling of 312100112000033 in words is "three hundred twelve trillion, one hundred billion, one hundred twelve million, thirty-three", and thus it is an aban number.