31121321100001 has 8 divisors (see below), whose sum is σ = 35045710564608. Its totient is φ = 27379461378000.

The previous prime is 31121321099933. The next prime is 31121321100011. The reversal of 31121321100001 is 10000112312113.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31121321100001 - 2¹¹ = 31121321097953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31121321100011) 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 7 ways as a sum of consecutive naturals, for example, 45632435290 + ... + 45632435971.

It is an arithmetic number, because the mean of its divisors is an integer number (4380713820576).

Almost surely, 2^{31121321100001} is an apocalyptic number.

31121321100001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

31121321100001 is a deficient number, since it is larger than the sum of its proper divisors (3924389464607).

31121321100001 is a wasteful number, since it uses less digits than its factorization.

31121321100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91264871303.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 31121321100001 its reverse (10000112312113), we get a palindrome (41121433412114).

The spelling of 31121321100001 in words is "thirty-one trillion, one hundred twenty-one billion, three hundred twenty-one million, one hundred thousand, one".