2013012011101 has 32 divisors (see below), whose sum is σ = 2500050146048. Its totient is φ = 1578312760320.

The previous prime is 2013012011069. The next prime is 2013012011111. The reversal of 2013012011101 is 1011102103102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2013012011101 - 2⁵ = 2013012011069 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013012011111) 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, 4445365 + ... + 4877221.

It is an arithmetic number, because the mean of its divisors is an integer number (78126567064).

Almost surely, 2^{2013012011101} is an apocalyptic number.

It is an amenable number.

2013012011101 is a deficient number, since it is larger than the sum of its proper divisors (487038134947).

2013012011101 is a wasteful number, since it uses less digits than its factorization.

2013012011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432341.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 2013012011101 its reverse (1011102103102), we get a palindrome (3024114114203).

The spelling of 2013012011101 in words is "two trillion, thirteen billion, twelve million, eleven thousand, one hundred one".