101354520313513 has 2 divisors, whose sum is σ = 101354520313514. Its totient is φ = 101354520313512.

The previous prime is 101354520313499. The next prime is 101354520313559. The reversal of 101354520313513 is 315313025453101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101268537653529 + 85982659984 = 10063227^2 + 293228^2 .

It is a cyclic number.

It is not a de Polignac number, because 101354520313513 - 2¹⁷ = 101354520182441 is a prime.

It is not a weakly prime, because it can be changed into another prime (101354520313213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50677260156756 + 50677260156757.

It is an arithmetic number, because the mean of its divisors is an integer number (50677260156757).

Almost surely, 2^{101354520313513} is an apocalyptic number.

It is an amenable number.

101354520313513 is a deficient number, since it is larger than the sum of its proper divisors (1).

101354520313513 is an equidigital number, since it uses as much as digits as its factorization.

101354520313513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81000, while the sum is 37.

Adding to 101354520313513 its reverse (315313025453101), we get a palindrome (416667545766614).

The spelling of 101354520313513 in words is "one hundred one trillion, three hundred fifty-four billion, five hundred twenty million, three hundred thirteen thousand, five hundred thirteen".