31312212101001 has 24 divisors (see below), whose sum is σ = 49533442882560. Its totient is φ = 18942459467616.

The previous prime is 31312212100991. The next prime is 31312212101017. The reversal of 31312212101001 is 10010121221313.

31312212101001 is a `hidden beast` number, since 3 + 131 + 221 + 210 + 100 + 1 = 666.

It is not a de Polignac number, because 31312212101001 - 2²¹ = 31312210003849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31312212101201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2268007881 + ... + 2268021686.

It is an arithmetic number, because the mean of its divisors is an integer number (2063893453440).

Almost surely, 2^{31312212101001} is an apocalyptic number.

It is an amenable number.

31312212101001 is a deficient number, since it is larger than the sum of its proper divisors (18221230781559).

31312212101001 is a wasteful number, since it uses less digits than its factorization.

31312212101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536029645 (or 4536029642 counting only the distinct ones).

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

Adding to 31312212101001 its reverse (10010121221313), we get a palindrome (41322333322314).

The spelling of 31312212101001 in words is "thirty-one trillion, three hundred twelve billion, two hundred twelve million, one hundred one thousand, one".