101013202132323 has 32 divisors (see below), whose sum is σ = 147693761273856. Its totient is φ = 61036706884608.

The previous prime is 101013202132321. The next prime is 101013202132333. The reversal of 101013202132323 is 323231202310101.

It is not a de Polignac number, because 101013202132323 - 2¹ = 101013202132321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101013202132293 and 101013202132302.

It is not an unprimeable number, because it can be changed into a prime (101013202132321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104645061 + ... + 105605942.

It is an arithmetic number, because the mean of its divisors is an integer number (4615430039808).

Almost surely, 2^{101013202132323} is an apocalyptic number.

101013202132323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101013202132323 is a deficient number, since it is larger than the sum of its proper divisors (46680559141533).

101013202132323 is a wasteful number, since it uses less digits than its factorization.

101013202132323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210251243.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 101013202132323 its reverse (323231202310101), we get a palindrome (424244404442424).

The spelling of 101013202132323 in words is "one hundred one trillion, thirteen billion, two hundred two million, one hundred thirty-two thousand, three hundred twenty-three".