10010040112013 has 8 divisors (see below), whose sum is σ = 10289286761880. Its totient is φ = 9731251621440.

The previous prime is 10010040111991. The next prime is 10010040112049. The reversal of 10010040112013 is 31021104001001.

It can be written as a sum of positive squares in 4 ways, for example, as 3129297316324 + 6880742795689 = 1768982^2 + 2623117^2 .

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 10010040112013 - 2⁶ = 10010040111949 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 (10010040117013) 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, 114495518 + ... + 114582911.

It is an arithmetic number, because the mean of its divisors is an integer number (1286160845235).

Almost surely, 2^{10010040112013} is an apocalyptic number.

It is an amenable number.

10010040112013 is a deficient number, since it is larger than the sum of its proper divisors (279246649867).

10010040112013 is a wasteful number, since it uses less digits than its factorization.

10010040112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229079647.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10010040112013 its reverse (31021104001001), we get a palindrome (41031144113014).

The spelling of 10010040112013 in words is "ten trillion, ten billion, forty million, one hundred twelve thousand, thirteen".