10100000111013 has 48 divisors (see below), whose sum is σ = 15986719457280. Its totient is φ = 6116047354368.

The previous prime is 10100000111011. The next prime is 10100000111023. The reversal of 10100000111013 is 31011100000101.

It is not a de Polignac number, because 10100000111013 - 2¹ = 10100000111011 is a prime.

It is a super-2 number, since 2×10100000111013² (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 Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10100000110986 and 10100000111004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000111011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9649756 + ... + 10645082.

It is an arithmetic number, because the mean of its divisors is an integer number (333056655360).

Almost surely, 2^{10100000111013} is an apocalyptic number.

It is an amenable number.

10100000111013 is a deficient number, since it is larger than the sum of its proper divisors (5886719346267).

10100000111013 is a wasteful number, since it uses less digits than its factorization.

10100000111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997666 (or 997663 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10100000111013 its reverse (31011100000101), we get a palindrome (41111100111114).

The spelling of 10100000111013 in words is "ten trillion, one hundred billion, one hundred eleven thousand, thirteen".