2010010010013 has 24 divisors (see below), whose sum is σ = 3056512804800. Its totient is φ = 1269331617024.

The previous prime is 2010010009933. The next prime is 2010010010023. The reversal of 2010010010013 is 3100100100102.

It is not a de Polignac number, because 2010010010013 - 2³⁸ = 1735132103069 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 = 2010010009977 and 2010010010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010010010023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789456 + ... + 2154822.

It is an arithmetic number, because the mean of its divisors is an integer number (127354700200).

Almost surely, 2^{2010010010013} is an apocalyptic number.

It is an amenable number.

2010010010013 is a deficient number, since it is larger than the sum of its proper divisors (1046502794787).

2010010010013 is a wasteful number, since it uses less digits than its factorization.

2010010010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374001 (or 1373998 counting only the distinct ones).

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

Adding to 2010010010013 its reverse (3100100100102), we get a palindrome (5110110110115).

The spelling of 2010010010013 in words is "two trillion, ten billion, ten million, ten thousand, thirteen".