10100001013 has 8 divisors (see below), whose sum is σ = 10452405600. Its totient is φ = 9747871728.

The previous prime is 10100001001. The next prime is 10100001059. The reversal of 10100001013 is 31010000101.

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 a de Polignac number, because none of the positive numbers 2^k-10100001013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100000987 and 10100001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100007013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7270 + ... + 142312.

It is an arithmetic number, because the mean of its divisors is an integer number (1306550700).

Almost surely, 2^10100001013 is an apocalyptic number.

It is an amenable number.

10100001013 is a deficient number, since it is larger than the sum of its proper divisors (352404587).

10100001013 is a wasteful number, since it uses less digits than its factorization.

10100001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137651.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10100001013 its reverse (31010000101), we get a palindrome (41110001114).

It can be divided in two parts, 1010000101 and 3, that multiplied together give a palindrome (3030000303).

The spelling of 10100001013 in words is "ten billion, one hundred million, one thousand, thirteen".