10000142113 has 16 divisors (see below), whose sum is σ = 10810307200. Its totient is φ = 9195897600.

The previous prime is 10000142081. The next prime is 10000142189. The reversal of 10000142113 is 31124100001.

It is a cyclic number.

It is not a de Polignac number, because 10000142113 - 2⁵ = 10000142081 is a prime.

It is a super-2 number, since 2×10000142113² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000142093 and 10000142102.

It is not an unprimeable number, because it can be changed into a prime (10000140113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6853378 + ... + 6854836.

It is an arithmetic number, because the mean of its divisors is an integer number (675644200).

Almost surely, 2^10000142113 is an apocalyptic number.

10000142113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10000142113 is a deficient number, since it is larger than the sum of its proper divisors (810165087).

10000142113 is a wasteful number, since it uses less digits than its factorization.

10000142113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10000142113 its reverse (31124100001), we get a palindrome (41124242114).

The spelling of 10000142113 in words is "ten billion, one hundred forty-two thousand, one hundred thirteen".