31213144221201 has 10 divisors (see below), whose sum is σ = 46627042602162. Its totient is φ = 20808762814080.

The previous prime is 31213144221151. The next prime is 31213144221211. The reversal of 31213144221201 is 10212244131213.

31213144221201 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 1 + 442 + 212 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21318351152400 + 9894793068801 = 4617180^2 + 3145599^2 .

It is not a de Polignac number, because 31213144221201 - 2¹⁵ = 31213144188433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31213144221211) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 192673729680 + ... + 192673729841.

Almost surely, 2^{31213144221201} is an apocalyptic number.

It is an amenable number.

31213144221201 is a deficient number, since it is larger than the sum of its proper divisors (15413898380961).

31213144221201 is an equidigital number, since it uses as much as digits as its factorization.

31213144221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385347459533 (or 385347459524 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 31213144221201 its reverse (10212244131213), we get a palindrome (41425388352414).

The spelling of 31213144221201 in words is "thirty-one trillion, two hundred thirteen billion, one hundred forty-four million, two hundred twenty-one thousand, two hundred one".