101193721513 has 2 divisors, whose sum is σ = 101193721514. Its totient is φ = 101193721512.

The previous prime is 101193721477. The next prime is 101193721537. The reversal of 101193721513 is 315127391101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92910355344 + 8283366169 = 304812^2 + 91013^2 .

It is a cyclic number.

It is not a de Polignac number, because 101193721513 - 2¹⁷ = 101193590441 is a prime.

It is not a weakly prime, because it can be changed into another prime (101193721313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50596860756 + 50596860757.

It is an arithmetic number, because the mean of its divisors is an integer number (50596860757).

Almost surely, 2^101193721513 is an apocalyptic number.

It is an amenable number.

101193721513 is a deficient number, since it is larger than the sum of its proper divisors (1).

101193721513 is an equidigital number, since it uses as much as digits as its factorization.

101193721513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5670, while the sum is 34.

The spelling of 101193721513 in words is "one hundred one billion, one hundred ninety-three million, seven hundred twenty-one thousand, five hundred thirteen".