2010000213013 has 32 divisors (see below), whose sum is σ = 2257024766976. Its totient is φ = 1777973753088.

The previous prime is 2010000212981. The next prime is 2010000213029. The reversal of 2010000213013 is 3103120000102.

It is not a de Polignac number, because 2010000213013 - 2⁵ = 2010000212981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2010000212984 and 2010000213002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010000213083) 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, 15706795 + ... + 15834247.

It is an arithmetic number, because the mean of its divisors is an integer number (70532023968).

Almost surely, 2^{2010000213013} is an apocalyptic number.

It is an amenable number.

2010000213013 is a deficient number, since it is larger than the sum of its proper divisors (247024553963).

2010000213013 is a wasteful number, since it uses less digits than its factorization.

2010000213013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128053.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 2010000213013 its reverse (3103120000102), we get a palindrome (5113120213115).

The spelling of 2010000213013 in words is "two trillion, ten billion, two hundred thirteen thousand, thirteen".