31213121012201 has 8 divisors (see below), whose sum is σ = 31522688019144. Its totient is φ = 30903564323200.

The previous prime is 31213121012189. The next prime is 31213121012239. The reversal of 31213121012201 is 10221012131213.

It can be written as a sum of positive squares in 4 ways, for example, as 1444082890000 + 29769038122201 = 1201700^2 + 5456101^2 .

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 31213121012201 - 2³⁸ = 30938243105257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31213121012701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3573191 + ... + 8671443.

It is an arithmetic number, because the mean of its divisors is an integer number (3940336002393).

Almost surely, 2^{31213121012201} is an apocalyptic number.

It is an amenable number.

31213121012201 is a deficient number, since it is larger than the sum of its proper divisors (309567006943).

31213121012201 is a wasteful number, since it uses less digits than its factorization.

31213121012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158971.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 31213121012201 its reverse (10221012131213), we get a palindrome (41434133143414).

The spelling of 31213121012201 in words is "thirty-one trillion, two hundred thirteen billion, one hundred twenty-one million, twelve thousand, two hundred one".