2013331123101 has 32 divisors (see below), whose sum is σ = 2830677746688. Its totient is φ = 1270389211520.

The previous prime is 2013331123073. The next prime is 2013331123103. The reversal of 2013331123101 is 1013211333102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2013331123101 - 2²⁵ = 2013297568669 is a prime.

It is a super-2 number, since 2×2013331123101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013331123103) 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, 2815585 + ... + 3457481.

It is an arithmetic number, because the mean of its divisors is an integer number (88458679584).

Almost surely, 2^{2013331123101} is an apocalyptic number.

It is an amenable number.

2013331123101 is a deficient number, since it is larger than the sum of its proper divisors (817346623587).

2013331123101 is a wasteful number, since it uses less digits than its factorization.

2013331123101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642401.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 2013331123101 its reverse (1013211333102), we get a palindrome (3026542456203).

The spelling of 2013331123101 in words is "two trillion, thirteen billion, three hundred thirty-one million, one hundred twenty-three thousand, one hundred one".