101310633045 has 48 divisors (see below), whose sum is σ = 181776441600. Its totient is φ = 52135843200.

The previous prime is 101310632993. The next prime is 101310633079. The reversal of 101310633045 is 540336013101.

101310633045 is a `hidden beast` number, since 1 + 0 + 13 + 10 + 633 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 101310633045 - 2¹⁵ = 101310600277 is a prime.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2088820 + ... + 2136770.

It is an arithmetic number, because the mean of its divisors is an integer number (3787009200).

Almost surely, 2^101310633045 is an apocalyptic number.

101310633045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101310633045 is a deficient number, since it is larger than the sum of its proper divisors (80465808555).

101310633045 is a wasteful number, since it uses less digits than its factorization.

101310633045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49610 (or 49607 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 101310633045 its reverse (540336013101), we get a palindrome (641646646146).

The spelling of 101310633045 in words is "one hundred one billion, three hundred ten million, six hundred thirty-three thousand, forty-five".