101300102013 has 32 divisors (see below), whose sum is σ = 147926338560. Its totient is φ = 61152312960.

The previous prime is 101300102009. The next prime is 101300102069. The reversal of 101300102013 is 310201003101.

It is not a de Polignac number, because 101300102013 - 2² = 101300102009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101300102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101300102083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21647608 + ... + 21652286.

It is an arithmetic number, because the mean of its divisors is an integer number (4622698080).

Almost surely, 2^101300102013 is an apocalyptic number.

It is an amenable number.

101300102013 is a deficient number, since it is larger than the sum of its proper divisors (46626236547).

101300102013 is a wasteful number, since it uses less digits than its factorization.

101300102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7137.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101300102013 its reverse (310201003101), we get a palindrome (411501105114).

The spelling of 101300102013 in words is "one hundred one billion, three hundred million, one hundred two thousand, thirteen".