2013102009077 has 2 divisors, whose sum is σ = 2013102009078. Its totient is φ = 2013102009076.

The previous prime is 2013102009073. The next prime is 2013102009089. The reversal of 2013102009077 is 7709002013102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1466506468036 + 546595541041 = 1210994^2 + 739321^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013102009077 - 2² = 2013102009073 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013102009073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006551004538 + 1006551004539.

It is an arithmetic number, because the mean of its divisors is an integer number (1006551004539).

Almost surely, 2^{2013102009077} is an apocalyptic number.

It is an amenable number.

2013102009077 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013102009077 is an equidigital number, since it uses as much as digits as its factorization.

2013102009077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 32.

The spelling of 2013102009077 in words is "two trillion, thirteen billion, one hundred two million, nine thousand, seventy-seven".