101323321201013 has 8 divisors (see below), whose sum is σ = 102311500858008. Its totient is φ = 100336747037184.

The previous prime is 101323321201007. The next prime is 101323321201103. The reversal of 101323321201013 is 310102123323101.

It can be written as a sum of positive squares in 4 ways, for example, as 15755326612804 + 85567994588209 = 3969298^2 + 9250297^2 .

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 101323321201013 - 2⁶ = 101323321200949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101323321201013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101323321221013) 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, 401246456 + ... + 401498897.

It is an arithmetic number, because the mean of its divisors is an integer number (12788937607251).

Almost surely, 2^{101323321201013} is an apocalyptic number.

It is an amenable number.

101323321201013 is a deficient number, since it is larger than the sum of its proper divisors (988179656995).

101323321201013 is a wasteful number, since it uses less digits than its factorization.

101323321201013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802746583.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101323321201013 its reverse (310102123323101), we get a palindrome (411425444524114).

The spelling of 101323321201013 in words is "one hundred one trillion, three hundred twenty-three billion, three hundred twenty-one million, two hundred one thousand, thirteen".