101133020323023 has 32 divisors (see below), whose sum is σ = 152862734438400. Its totient is φ = 58958942380416.

The previous prime is 101133020322989. The next prime is 101133020323043. The reversal of 101133020323023 is 320323020331101.

It is not a de Polignac number, because 101133020323023 - 2¹⁰ = 101133020321999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101133020322984 and 101133020323002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133020323043) 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, 35744338 + ... + 38469776.

It is an arithmetic number, because the mean of its divisors is an integer number (4776960451200).

Almost surely, 2^{101133020323023} is an apocalyptic number.

101133020323023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101133020323023 is a deficient number, since it is larger than the sum of its proper divisors (51729714115377).

101133020323023 is a wasteful number, since it uses less digits than its factorization.

101133020323023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775551.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 101133020323023 its reverse (320323020331101), we get a palindrome (421456040654124).

The spelling of 101133020323023 in words is "one hundred one trillion, one hundred thirty-three billion, twenty million, three hundred twenty-three thousand, twenty-three".