31101100212321 has 24 divisors (see below), whose sum is σ = 45175647741224. Its totient is φ = 20617853114880.

The previous prime is 31101100212317. The next prime is 31101100212323. The reversal of 31101100212321 is 12321200110113.

31101100212321 is a `hidden beast` number, since 31 + 1 + 0 + 1 + 100 + 212 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2210690211921 + 28890410000400 = 1486839^2 + 5374980^2 .

It is not a de Polignac number, because 31101100212321 - 2² = 31101100212317 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31101100212294 and 31101100212303.

It is not an unprimeable number, because it can be changed into a prime (31101100212323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19627545 + ... + 21152841.

Almost surely, 2^{31101100212321} is an apocalyptic number.

It is an amenable number.

31101100212321 is a deficient number, since it is larger than the sum of its proper divisors (14074547528903).

31101100212321 is a wasteful number, since it uses less digits than its factorization.

31101100212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538001 (or 1537998 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 31101100212321 its reverse (12321200110113), we get a palindrome (43422300322434).

The spelling of 31101100212321 in words is "thirty-one trillion, one hundred one billion, one hundred million, two hundred twelve thousand, three hundred twenty-one".