10201100013 has 32 divisors (see below), whose sum is σ = 16330970880. Its totient is φ = 6256111680.

The previous prime is 10201100009. The next prime is 10201100023. The reversal of 10201100013 is 31000110201.

It is not a de Polignac number, because 10201100013 - 2² = 10201100009 is a prime.

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 = 10201099968 and 10201100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201100023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53248 + ... + 152438.

It is an arithmetic number, because the mean of its divisors is an integer number (510342840).

Almost surely, 2^10201100013 is an apocalyptic number.

10201100013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10201100013 is a deficient number, since it is larger than the sum of its proper divisors (6129870867).

10201100013 is a wasteful number, since it uses less digits than its factorization.

10201100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99506 (or 99500 counting only the distinct ones).

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

Adding to 10201100013 its reverse (31000110201), we get a palindrome (41201210214).

The spelling of 10201100013 in words is "ten billion, two hundred one million, one hundred thousand, thirteen".