10102131112013 has 8 divisors (see below), whose sum is σ = 10730116629432. Its totient is φ = 9477894762496.

The previous prime is 10102131112009. The next prime is 10102131112079. The reversal of 10102131112013 is 31021113120101.

10102131112013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 210936281284 + 9891194830729 = 459278^2 + 3145027^2 .

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 10102131112013 - 2² = 10102131112009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102131111982 and 10102131112000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102131112613) 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, 937286420 + ... + 937297197.

It is an arithmetic number, because the mean of its divisors is an integer number (1341264578679).

Almost surely, 2^{10102131112013} is an apocalyptic number.

It is an amenable number.

10102131112013 is a deficient number, since it is larger than the sum of its proper divisors (627985517419).

10102131112013 is a wasteful number, since it uses less digits than its factorization.

10102131112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874583951.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10102131112013 its reverse (31021113120101), we get a palindrome (41123244232114).

The spelling of 10102131112013 in words is "ten trillion, one hundred two billion, one hundred thirty-one million, one hundred twelve thousand, thirteen".