10102140535013 has 8 divisors (see below), whose sum is σ = 10240625387736. Its totient is φ = 9963658368000.

The previous prime is 10102140535007. The next prime is 10102140535031. The reversal of 10102140535013 is 31053504120101.

It can be written as a sum of positive squares in 4 ways, for example, as 7412648773924 + 2689491761089 = 2722618^2 + 1639967^2 .

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 10102140535013 - 2⁶ = 10102140534949 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 (10102140535043) 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, 7595963 + ... + 8826263.

It is an arithmetic number, because the mean of its divisors is an integer number (1280078173467).

Almost surely, 2^{10102140535013} is an apocalyptic number.

It is an amenable number.

10102140535013 is a deficient number, since it is larger than the sum of its proper divisors (138484852723).

10102140535013 is a wasteful number, since it uses less digits than its factorization.

10102140535013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342855.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 10102140535013 its reverse (31053504120101), we get a palindrome (41155644655114).

The spelling of 10102140535013 in words is "ten trillion, one hundred two billion, one hundred forty million, five hundred thirty-five thousand, thirteen".