101505013 has 2 divisors, whose sum is σ = 101505014. Its totient is φ = 101505012.

The previous prime is 101504989. The next prime is 101505059. The reversal of 101505013 is 310505101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100460529 + 1044484 = 10023^2 + 1022^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101505013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101505073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50752506 + 50752507.

It is an arithmetic number, because the mean of its divisors is an integer number (50752507).

Almost surely, 2^101505013 is an apocalyptic number.

It is an amenable number.

101505013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101505013 is an equidigital number, since it uses as much as digits as its factorization.

101505013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 101505013 is about 10074.9696277458. The cubic root of 101505013 is about 466.4758489136.

The spelling of 101505013 in words is "one hundred one million, five hundred five thousand, thirteen".