312101021322 has 64 divisors (see below), whose sum is σ = 700829694720. Its totient is φ = 102944088000.

The previous prime is 312101021299. The next prime is 312101021347. The reversal of 312101021322 is 223120101213.

312101021322 is a `hidden beast` number, since 31 + 210 + 102 + 1 + 322 = 666.

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 = 312101021295 and 312101021304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9970648 + ... + 10001900.

It is an arithmetic number, because the mean of its divisors is an integer number (10950463980).

Almost surely, 2^312101021322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312101021322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350414847360).

312101021322 is an abundant number, since it is smaller than the sum of its proper divisors (388728673398).

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

312101021322 is a wasteful number, since it uses less digits than its factorization.

312101021322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33196 (or 33190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312101021322 its reverse (223120101213), we get a palindrome (535221122535).

The spelling of 312101021322 in words is "three hundred twelve billion, one hundred one million, twenty-one thousand, three hundred twenty-two".