101201313013 has 8 divisors (see below), whose sum is σ = 102083997600. Its totient is φ = 100321821648.

The previous prime is 101201312939. The next prime is 101201313019. The reversal of 101201313013 is 310313102101.

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 101201313013 - 2²⁹ = 100664442101 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 (101201313019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 734623 + ... + 861436.

It is an arithmetic number, because the mean of its divisors is an integer number (12760499700).

Almost surely, 2^101201313013 is an apocalyptic number.

It is an amenable number.

101201313013 is a deficient number, since it is larger than the sum of its proper divisors (882684587).

101201313013 is a wasteful number, since it uses less digits than its factorization.

101201313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596611.

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

Adding to 101201313013 its reverse (310313102101), we get a palindrome (411514415114).

The spelling of 101201313013 in words is "one hundred one billion, two hundred one million, three hundred thirteen thousand, thirteen".