3102100012013 has 16 divisors (see below), whose sum is σ = 3210020545536. Its totient is φ = 2994672280320.

The previous prime is 3102100012009. The next prime is 3102100012019.

3102100012013 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3102100012013 - 2² = 3102100012009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102100012019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136003856 + ... + 136026662.

It is an arithmetic number, because the mean of its divisors is an integer number (200626284096).

Almost surely, 2^{3102100012013} is an apocalyptic number.

It is an amenable number.

3102100012013 is a deficient number, since it is larger than the sum of its proper divisors (107920533523).

3102100012013 is a wasteful number, since it uses less digits than its factorization.

3102100012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33404.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 31021000 and 12013, that added together give a palindrome (31033013).

The spelling of 3102100012013 in words is "three trillion, one hundred two billion, one hundred million, twelve thousand, thirteen".