2013322342101 has 64 divisors (see below), whose sum is σ = 3113734348800. Its totient is φ = 1133424230400.

The previous prime is 2013322342091. The next prime is 2013322342127. The reversal of 2013322342101 is 1012432233102.

It is not a de Polignac number, because 2013322342101 - 2³⁹ = 1463566528213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013322340101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 756034096 + ... + 756036758.

It is an arithmetic number, because the mean of its divisors is an integer number (48652099200).

Almost surely, 2^{2013322342101} is an apocalyptic number.

2013322342101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2013322342101 is a deficient number, since it is larger than the sum of its proper divisors (1100412006699).

2013322342101 is a wasteful number, since it uses less digits than its factorization.

2013322342101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4586.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2013322342101 its reverse (1012432233102), we get a palindrome (3025754575203).

The spelling of 2013322342101 in words is "two trillion, thirteen billion, three hundred twenty-two million, three hundred forty-two thousand, one hundred one".