3133121133001 has 2 divisors, whose sum is σ = 3133121133002. Its totient is φ = 3133121133000.

The previous prime is 3133121132957. The next prime is 3133121133013. The reversal of 3133121133001 is 1003311213313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1711544227600 + 1421576905401 = 1308260^2 + 1192299^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133121133001 - 2¹⁵ = 3133121100233 is a prime.

It is not a weakly prime, because it can be changed into another prime (3133121133041) 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 as a sum of consecutive naturals, namely, 1566560566500 + 1566560566501.

It is an arithmetic number, because the mean of its divisors is an integer number (1566560566501).

Almost surely, 2^{3133121133001} is an apocalyptic number.

It is an amenable number.

3133121133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133121133001 is an equidigital number, since it uses as much as digits as its factorization.

3133121133001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 3133121133001 its reverse (1003311213313), we get a palindrome (4136432346314).

The spelling of 3133121133001 in words is "three trillion, one hundred thirty-three billion, one hundred twenty-one million, one hundred thirty-three thousand, one".