10201001113113 has 32 divisors (see below), whose sum is σ = 14484918067200. Its totient is φ = 6367446775296.

The previous prime is 10201001113097. The next prime is 10201001113133. The reversal of 10201001113113 is 31131110010201.

It is not a de Polignac number, because 10201001113113 - 2⁴ = 10201001113097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201001113092 and 10201001113101.

It is not an unprimeable number, because it can be changed into a prime (10201001113133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2692320 + ... + 5258382.

It is an arithmetic number, because the mean of its divisors is an integer number (452653689600).

Almost surely, 2^{10201001113113} is an apocalyptic number.

It is an amenable number.

10201001113113 is a deficient number, since it is larger than the sum of its proper divisors (4283916954087).

10201001113113 is a wasteful number, since it uses less digits than its factorization.

10201001113113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566901.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10201001113113 its reverse (31131110010201), we get a palindrome (41332111123314).

The spelling of 10201001113113 in words is "ten trillion, two hundred one billion, one million, one hundred thirteen thousand, one hundred thirteen".