101313102033 has 24 divisors (see below), whose sum is σ = 171925266240. Its totient is φ = 56678657760.

The previous prime is 101313102019. The next prime is 101313102053. The reversal of 101313102033 is 330201313101.

It is a happy number.

It is not a de Polignac number, because 101313102033 - 2⁶ = 101313101969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101313101997 and 101313102015.

It is not an unprimeable number, because it can be changed into a prime (101313102053) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39358893 + ... + 39361466.

It is an arithmetic number, because the mean of its divisors is an integer number (7163552760).

Almost surely, 2^101313102033 is an apocalyptic number.

101313102033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101313102033 is a deficient number, since it is larger than the sum of its proper divisors (70612164207).

101313102033 is a wasteful number, since it uses less digits than its factorization.

101313102033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78720389 (or 78720386 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101313102033 its reverse (330201313101), we get a palindrome (431514415134).

The spelling of 101313102033 in words is "one hundred one billion, three hundred thirteen million, one hundred two thousand, thirty-three".