10130033110513 has 2 divisors, whose sum is σ = 10130033110514. Its totient is φ = 10130033110512.

The previous prime is 10130033110481. The next prime is 10130033110541. The reversal of 10130033110513 is 31501133003101.

10130033110513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8314093595889 + 1815939514624 = 2883417^2 + 1347568^2 .

It is a cyclic number.

It is not a de Polignac number, because 10130033110513 - 2⁵ = 10130033110481 is a prime.

It is a super-2 number, since 2×10130033110513² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10130033110553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065016555256 + 5065016555257.

It is an arithmetic number, because the mean of its divisors is an integer number (5065016555257).

Almost surely, 2^{10130033110513} is an apocalyptic number.

It is an amenable number.

10130033110513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10130033110513 is an equidigital number, since it uses as much as digits as its factorization.

10130033110513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405, while the sum is 22.

Adding to 10130033110513 its reverse (31501133003101), we get a palindrome (41631166113614).

The spelling of 10130033110513 in words is "ten trillion, one hundred thirty billion, thirty-three million, one hundred ten thousand, five hundred thirteen".