10102013013 has 8 divisors (see below), whose sum is σ = 13478626528. Its totient is φ = 6730037424.

The previous prime is 10102012961. The next prime is 10102013017. The reversal of 10102013013 is 31031020101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10102013013 - 2¹³ = 10102004821 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 10102013013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102013017) 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, 1154395 + ... + 1163112.

It is an arithmetic number, because the mean of its divisors is an integer number (1684828316).

Almost surely, 2^10102013013 is an apocalyptic number.

It is an amenable number.

10102013013 is a deficient number, since it is larger than the sum of its proper divisors (3376613515).

10102013013 is a wasteful number, since it uses less digits than its factorization.

10102013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318963.

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

Adding to 10102013013 its reverse (31031020101), we get a palindrome (41133033114).

The spelling of 10102013013 in words is "ten billion, one hundred two million, thirteen thousand, thirteen".