10401130113 has 32 divisors (see below), whose sum is σ = 15279194112. Its totient is φ = 6293287440.

The previous prime is 10401130039. The next prime is 10401130133. The reversal of 10401130113 is 31103110401.

10401130113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10401130113 - 2³⁰ = 9327388289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10401130092 and 10401130101.

It is not an unprimeable number, because it can be changed into a prime (10401130133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2901120 + ... + 2904702.

It is an arithmetic number, because the mean of its divisors is an integer number (477474816).

Almost surely, 2^10401130113 is an apocalyptic number.

It is an amenable number.

10401130113 is a deficient number, since it is larger than the sum of its proper divisors (4878063999).

10401130113 is an equidigital number, since it uses as much as digits as its factorization.

10401130113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10401130113 its reverse (31103110401), we get a palindrome (41504240514).

The spelling of 10401130113 in words is "ten billion, four hundred one million, one hundred thirty thousand, one hundred thirteen".