31211002032101 has 6 divisors (see below), whose sum is σ = 32940143419302. Its totient is φ = 29568317714280.

The previous prime is 31211002032083. The next prime is 31211002032103. The reversal of 31211002032101 is 10123020011213.

It can be written as a sum of positive squares in only one way, i.e., 30916646955076 + 294355077025 = 5560274^2 + 542545^2 .

It is not a de Polignac number, because 31211002032101 - 2¹⁴ = 31211002015717 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31211002032101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31211002032103) 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 5 ways as a sum of consecutive naturals, for example, 43228534310 + ... + 43228535031.

It is an arithmetic number, because the mean of its divisors is an integer number (5490023903217).

Almost surely, 2^{31211002032101} is an apocalyptic number.

It is an amenable number.

31211002032101 is a deficient number, since it is larger than the sum of its proper divisors (1729141387201).

31211002032101 is an equidigital number, since it uses as much as digits as its factorization.

31211002032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86457069379 (or 86457069360 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 31211002032101 its reverse (10123020011213), we get a palindrome (41334022043314).

The spelling of 31211002032101 in words is "thirty-one trillion, two hundred eleven billion, two million, thirty-two thousand, one hundred one".