312101203320 has 96 divisors (see below), whose sum is σ = 1015448307120. Its totient is φ = 83135139840.

The previous prime is 312101203313. The next prime is 312101203373. The reversal of 312101203320 is 23302101213.

312101203320 is a `hidden beast` number, since 3 + 1 + 210 + 120 + 332 + 0 = 666.

It is a super-2 number, since 2×312101203320² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 312101203293 and 312101203302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151401 + ... + 804440.

Almost surely, 2^312101203320 is an apocalyptic number.

312101203320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312101203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507724153560).

312101203320 is an abundant number, since it is smaller than the sum of its proper divisors (703347103800).

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

312101203320 is a wasteful number, since it uses less digits than its factorization.

312101203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956765 (or 956758 counting only the distinct ones).

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

Adding to 312101203320 its reverse (23302101213), we get a palindrome (335403304533).

The spelling of 312101203320 in words is "three hundred twelve billion, one hundred one million, two hundred three thousand, three hundred twenty".