10138274513 has 8 divisors (see below), whose sum is σ = 10773401832. Its totient is φ = 9507453696.

The previous prime is 10138274501. The next prime is 10138274551. The reversal of 10138274513 is 31547283101.

It can be written as a sum of positive squares in 4 ways, for example, as 5234944 + 10133039569 = 2288^2 + 100663^2 .

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 10138274513 - 2⁸ = 10138274257 is a prime.

It is a super-2 number, since 2×10138274513² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10138271513) 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, 1071770 + ... + 1081187.

It is an arithmetic number, because the mean of its divisors is an integer number (1346675229).

Almost surely, 2^10138274513 is an apocalyptic number.

It is an amenable number.

10138274513 is a deficient number, since it is larger than the sum of its proper divisors (635127319).

10138274513 is a wasteful number, since it uses less digits than its factorization.

10138274513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153251.

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 10138274513 in words is "ten billion, one hundred thirty-eight million, two hundred seventy-four thousand, five hundred thirteen".