100577284013 has 2 divisors, whose sum is σ = 100577284014. Its totient is φ = 100577284012.

The previous prime is 100577284009. The next prime is 100577284057. The reversal of 100577284013 is 310482775001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93301535209 + 7275748804 = 305453^2 + 85298^2 .

It is a cyclic number.

It is not a de Polignac number, because 100577284013 - 2² = 100577284009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100577244013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50288642006 + 50288642007.

It is an arithmetic number, because the mean of its divisors is an integer number (50288642007).

Almost surely, 2^100577284013 is an apocalyptic number.

It is an amenable number.

100577284013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100577284013 is an equidigital number, since it uses as much as digits as its factorization.

100577284013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 100577284013 in words is "one hundred billion, five hundred seventy-seven million, two hundred eighty-four thousand, thirteen".