33131130101 has 2 divisors, whose sum is σ = 33131130102. Its totient is φ = 33131130100.

The previous prime is 33131130077. The next prime is 33131130103. The reversal of 33131130101 is 10103113133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27035580625 + 6095549476 = 164425^2 + 78074^2 .

It is a cyclic number.

It is not a de Polignac number, because 33131130101 - 2²² = 33126935797 is a prime.

Together with 33131130103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33131130101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33131130103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16565565050 + 16565565051.

It is an arithmetic number, because the mean of its divisors is an integer number (16565565051).

Almost surely, 2^33131130101 is an apocalyptic number.

It is an amenable number.

33131130101 is a deficient number, since it is larger than the sum of its proper divisors (1).

33131130101 is an equidigital number, since it uses as much as digits as its factorization.

33131130101 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 17.

Adding to 33131130101 its reverse (10103113133), we get a palindrome (43234243234).

The spelling of 33131130101 in words is "thirty-three billion, one hundred thirty-one million, one hundred thirty thousand, one hundred one".