101349269316 has 81 divisors (see below), whose sum is σ = 259330871709. Its totient is φ = 33373686528.

The previous prime is 101349269269. The next prime is 101349269363. The reversal of 101349269316 is 613962943101.

The square root of 101349269316 is 318354.

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

101349269316 is a `hidden beast` number, since 10 + 1 + 349 + 269 + 31 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (101349269269) and next prime (101349269363).

It can be written as a sum of positive squares in only one way, i.e., 45509688900 + 55839580416 = 213330^2 + 236304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 185281755 + ... + 185282301.

Almost surely, 2^101349269316 is an apocalyptic number.

101349269316 is the 318354-th square number.

It is an amenable number.

101349269316 is an abundant number, since it is smaller than the sum of its proper divisors (157981602393).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101349269316 is an frugal number, since it uses more digits than its factorization.

101349269316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 101349269316 in words is "one hundred one billion, three hundred forty-nine million, two hundred sixty-nine thousand, three hundred sixteen".