101123013020033 has 8 divisors (see below), whose sum is σ = 101709625281768. Its totient is φ = 100536424737664.

The previous prime is 101123013019991. The next prime is 101123013020083. The reversal of 101123013020033 is 330020310321101.

It can be written as a sum of positive squares in 4 ways, for example, as 41428120315024 + 59694892705009 = 6436468^2 + 7726247^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101123013020033 - 2²⁸ = 101122744584577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101123013019987 and 101123013020014.

It is not an unprimeable number, because it can be changed into a prime (101123013020083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2498591 + ... + 14439147.

It is an arithmetic number, because the mean of its divisors is an integer number (12713703160221).

Almost surely, 2^{101123013020033} is an apocalyptic number.

It is an amenable number.

101123013020033 is a deficient number, since it is larger than the sum of its proper divisors (586612261735).

101123013020033 is a wasteful number, since it uses less digits than its factorization.

101123013020033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11989683.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101123013020033 its reverse (330020310321101), we get a palindrome (431143323341134).

The spelling of 101123013020033 in words is "one hundred one trillion, one hundred twenty-three billion, thirteen million, twenty thousand, thirty-three".