101123301013 has 12 divisors (see below), whose sum is σ = 119561644812. Its totient is φ = 85256176320.

The previous prime is 101123300987. The next prime is 101123301031. The reversal of 101123301013 is 310103321101.

It can be written as a sum of positive squares in 2 ways, for example, as 36481764004 + 64641537009 = 191002^2 + 254247^2 .

It is not a de Polignac number, because 101123301013 - 2¹⁷ = 101123169941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123305013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16912920 + ... + 16918897.

It is an arithmetic number, because the mean of its divisors is an integer number (9963470401).

Almost surely, 2^101123301013 is an apocalyptic number.

It is an amenable number.

101123301013 is a deficient number, since it is larger than the sum of its proper divisors (18438343799).

101123301013 is an equidigital number, since it uses as much as digits as its factorization.

101123301013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33831892 (or 33831885 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101123301013 its reverse (310103321101), we get a palindrome (411226622114).

The spelling of 101123301013 in words is "one hundred one billion, one hundred twenty-three million, three hundred one thousand, thirteen".