3133013101 has 2 divisors, whose sum is σ = 3133013102. Its totient is φ = 3133013100.

The previous prime is 3133013099. The next prime is 3133013111. The reversal of 3133013101 is 1013103313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3130290601 + 2722500 = 55949^2 + 1650^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133013101 - 2¹ = 3133013099 is a prime.

Together with 3133013099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3133013111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566506550 + 1566506551.

It is an arithmetic number, because the mean of its divisors is an integer number (1566506551).

Almost surely, 2^3133013101 is an apocalyptic number.

It is an amenable number.

3133013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133013101 is an equidigital number, since it uses as much as digits as its factorization.

3133013101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 3133013101 is about 55973.3249057084. The cubic root of 3133013101 is about 1463.2574265046.

Adding to 3133013101 its reverse (1013103313), we get a palindrome (4146116414).

The spelling of 3133013101 in words is "three billion, one hundred thirty-three million, thirteen thousand, one hundred one".