101303505153 has 6 divisors (see below), whose sum is σ = 146327285234. Its totient is φ = 67535670096.

The previous prime is 101303505143. The next prime is 101303505161. The reversal of 101303505153 is 351505303101.

101303505153 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 0 + 3 + 505 + 153 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68907825009 + 32395680144 = 262503^2 + 179988^2 .

It is not a de Polignac number, because 101303505153 - 2⁴ = 101303505137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101303505143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5627972500 + ... + 5627972517.

Almost surely, 2^101303505153 is an apocalyptic number.

It is an amenable number.

101303505153 is a deficient number, since it is larger than the sum of its proper divisors (45023780081).

101303505153 is a wasteful number, since it uses less digits than its factorization.

101303505153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11255945023 (or 11255945020 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

Adding to 101303505153 its reverse (351505303101), we get a palindrome (452808808254).

The spelling of 101303505153 in words is "one hundred one billion, three hundred three million, five hundred five thousand, one hundred fifty-three".