10201000010013 has 12 divisors (see below), whose sum is σ = 15094162616988. Its totient is φ = 6634796754240.

The previous prime is 10201000009997. The next prime is 10201000010063. The reversal of 10201000010013 is 31001000010201.

It can be written as a sum of positive squares in 2 ways, for example, as 2832478902009 + 7368521108004 = 1682997^2 + 2714502^2 .

It is not a de Polignac number, because 10201000010013 - 2⁴ = 10201000009997 is a prime.

It is a super-2 number, since 2×10201000010013² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10201000009977 and 10201000010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201000010063) 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 11 ways as a sum of consecutive naturals, for example, 13822492870 + ... + 13822493607.

It is an arithmetic number, because the mean of its divisors is an integer number (1257846884749).

Almost surely, 2^{10201000010013} is an apocalyptic number.

It is an amenable number.

10201000010013 is a deficient number, since it is larger than the sum of its proper divisors (4893162606975).

10201000010013 is a wasteful number, since it uses less digits than its factorization.

10201000010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27644986524 (or 27644986521 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10201000010013 its reverse (31001000010201), we get a palindrome (41202000020214).

The spelling of 10201000010013 in words is "ten trillion, two hundred one billion, ten thousand, thirteen".