101313321303233 has 16 divisors (see below), whose sum is σ = 114751246288896. Its totient is φ = 88795607209920.

The previous prime is 101313321303179. The next prime is 101313321303241. The reversal of 101313321303233 is 332303123313101.

It is not a de Polignac number, because 101313321303233 - 2¹⁰ = 101313321302209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101313321303196 and 101313321303205.

It is not an unprimeable number, because it can be changed into a prime (101313321303253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2371656185 + ... + 2371698902.

It is an arithmetic number, because the mean of its divisors is an integer number (7171952893056).

Almost surely, 2^{101313321303233} is an apocalyptic number.

101313321303233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101313321303233 is a deficient number, since it is larger than the sum of its proper divisors (13437924985663).

101313321303233 is a wasteful number, since it uses less digits than its factorization.

101313321303233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743355184.

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 101313321303233 its reverse (332303123313101), we get a palindrome (433616444616334).

The spelling of 101313321303233 in words is "one hundred one trillion, three hundred thirteen billion, three hundred twenty-one million, three hundred three thousand, two hundred thirty-three".