2013102010101 has 32 divisors (see below), whose sum is σ = 3340670618880. Its totient is φ = 1049925026304.

The previous prime is 2013102010081. The next prime is 2013102010103. The reversal of 2013102010101 is 1010102013102.

It is not a de Polignac number, because 2013102010101 - 2¹⁰ = 2013102009077 is a prime.

It is a super-3 number, since 3×2013102010101³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013102010103) 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, 41402670 + ... + 41451263.

It is an arithmetic number, because the mean of its divisors is an integer number (104395956840).

Almost surely, 2^{2013102010101} is an apocalyptic number.

2013102010101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2013102010101 is a deficient number, since it is larger than the sum of its proper divisors (1327568608779).

2013102010101 is a wasteful number, since it uses less digits than its factorization.

2013102010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82854045.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 2013102010101 its reverse (1010102013102), we get a palindrome (3023204023203).

The spelling of 2013102010101 in words is "two trillion, thirteen billion, one hundred two million, ten thousand, one hundred one".