101318135307481 has 9 divisors (see below), whose sum is σ = 101411903341791. Its totient is φ = 101224453921344.

The previous prime is 101318135307413. The next prime is 101318135307643. The reversal of 101318135307481 is 184703531813101.

The square root of 101318135307481 is 10065691.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41462536817881 + 59855598489600 = 6439141^2 + 7736640^2 .

It is not a de Polignac number, because 101318135307481 - 2³¹ = 101315987823833 is a prime.

It is a super-2 number, since 2×101318135307481² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101318135307401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12572044030 + ... + 12572052088.

It is an arithmetic number, because the mean of its divisors is an integer number (11267989260199).

Almost surely, 2^{101318135307481} is an apocalyptic number.

101318135307481 is the 10065691-st square number.

101318135307481 is the 5032846-th centered octagonal number.

It is an amenable number.

101318135307481 is a deficient number, since it is larger than the sum of its proper divisors (93768034310).

101318135307481 is an frugal number, since it uses more digits than its factorization.

101318135307481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18616 (or 9308 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 101318135307481 in words is "one hundred one trillion, three hundred eighteen billion, one hundred thirty-five million, three hundred seven thousand, four hundred eighty-one".