34037073013 has 2 divisors, whose sum is σ = 34037073014. Its totient is φ = 34037073012.

The previous prime is 34037072999. The next prime is 34037073029. The reversal of 34037073013 is 31037073043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29803879044 + 4233193969 = 172638^2 + 65063^2 .

It is a cyclic number.

It is not a de Polignac number, because 34037073013 - 2⁵ = 34037072981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34037073313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17018536506 + 17018536507.

It is an arithmetic number, because the mean of its divisors is an integer number (17018536507).

Almost surely, 2^34037073013 is an apocalyptic number.

It is an amenable number.

34037073013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34037073013 is an equidigital number, since it uses as much as digits as its factorization.

34037073013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15876, while the sum is 31.

The spelling of 34037073013 in words is "thirty-four billion, thirty-seven million, seventy-three thousand, thirteen".