3133131022201 has 2 divisors, whose sum is σ = 3133131022202. Its totient is φ = 3133131022200.

The previous prime is 3133131022199. The next prime is 3133131022207. The reversal of 3133131022201 is 1022201313313.

3133131022201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2864082369600 + 269048652601 = 1692360^2 + 518699^2 .

It is an emirp because it is prime and its reverse (1022201313313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3133131022201 - 2¹ = 3133131022199 is a prime.

It is a super-3 number, since 3×3133131022201³ (a number of 38 digits) contains 333 as substring.

Together with 3133131022199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3133131022207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566565511100 + 1566565511101.

It is an arithmetic number, because the mean of its divisors is an integer number (1566565511101).

Almost surely, 2^{3133131022201} is an apocalyptic number.

It is an amenable number.

3133131022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133131022201 is an equidigital number, since it uses as much as digits as its factorization.

3133131022201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 3133131022201 its reverse (1022201313313), we get a palindrome (4155332335514).

The spelling of 3133131022201 in words is "three trillion, one hundred thirty-three billion, one hundred thirty-one million, twenty-two thousand, two hundred one".