101133020323013 has 16 divisors (see below), whose sum is σ = 120618748379136. Its totient is φ = 82907637603120.

The previous prime is 101133020322989. The next prime is 101133020323043. The reversal of 101133020323013 is 310323020331101.

It is a cyclic number.

It is not a de Polignac number, because 101133020323013 - 2¹⁰ = 101133020321989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 101133020323013.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32112143 + ... + 35120588.

It is an arithmetic number, because the mean of its divisors is an integer number (7538671773696).

Almost surely, 2^{101133020323013} is an apocalyptic number.

It is an amenable number.

101133020323013 is a deficient number, since it is larger than the sum of its proper divisors (19485728056123).

101133020323013 is an equidigital number, since it uses as much as digits as its factorization.

101133020323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67242104.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 101133020323013 its reverse (310323020331101), we get a palindrome (411456040654114).

The spelling of 101133020323013 in words is "one hundred one trillion, one hundred thirty-three billion, twenty million, three hundred twenty-three thousand, thirteen".