10012000101113 has 8 divisors (see below), whose sum is σ = 10358069710080. Its totient is φ = 9665985707280.

The previous prime is 10012000101091. The next prime is 10012000101119. The reversal of 10012000101113 is 31110100021001.

It is a happy number.

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 10012000101113 - 2¹⁴ = 10012000084729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012000101094 and 10012000101103.

It is not an unprimeable number, because it can be changed into a prime (10012000101119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13434695 + ... + 14160332.

It is an arithmetic number, because the mean of its divisors is an integer number (1294758713760).

Almost surely, 2^{10012000101113} is an apocalyptic number.

It is an amenable number.

10012000101113 is a deficient number, since it is larger than the sum of its proper divisors (346069608967).

10012000101113 is a wasteful number, since it uses less digits than its factorization.

10012000101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27607567.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10012000101113 its reverse (31110100021001), we get a palindrome (41122100122114).

The spelling of 10012000101113 in words is "ten trillion, twelve billion, one hundred one thousand, one hundred thirteen".