33131000013073 has 2 divisors, whose sum is σ = 33131000013074. Its totient is φ = 33131000013072.

The previous prime is 33131000013061. The next prime is 33131000013101. The reversal of 33131000013073 is 37031000013133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19593663219729 + 13537336793344 = 4426473^2 + 3679312^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33131000013073 is a prime.

It is not a weakly prime, because it can be changed into another prime (33131100013073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16565500006536 + 16565500006537.

It is an arithmetic number, because the mean of its divisors is an integer number (16565500006537).

Almost surely, 2^{33131000013073} is an apocalyptic number.

It is an amenable number.

33131000013073 is a deficient number, since it is larger than the sum of its proper divisors (1).

33131000013073 is an equidigital number, since it uses as much as digits as its factorization.

33131000013073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 25.

The spelling of 33131000013073 in words is "thirty-three trillion, one hundred thirty-one billion, thirteen thousand, seventy-three".