31123021003201 has 2 divisors, whose sum is σ = 31123021003202. Its totient is φ = 31123021003200.

The previous prime is 31123021003199. The next prime is 31123021003211. The reversal of 31123021003201 is 10230012032113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30581065900225 + 541955102976 = 5530015^2 + 736176^2 .

It is a cyclic number.

It is not a de Polignac number, because 31123021003201 - 2¹ = 31123021003199 is a prime.

Together with 31123021003199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31123021003211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15561510501600 + 15561510501601.

It is an arithmetic number, because the mean of its divisors is an integer number (15561510501601).

Almost surely, 2^{31123021003201} is an apocalyptic number.

It is an amenable number.

31123021003201 is a deficient number, since it is larger than the sum of its proper divisors (1).

31123021003201 is an equidigital number, since it uses as much as digits as its factorization.

31123021003201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31123021003201 its reverse (10230012032113), we get a palindrome (41353033035314).

The spelling of 31123021003201 in words is "thirty-one trillion, one hundred twenty-three billion, twenty-one million, three thousand, two hundred one".