2013132122101 has 8 divisors (see below), whose sum is σ = 2080710155960. Its totient is φ = 1946247196608.

The previous prime is 2013132122083. The next prime is 2013132122107. The reversal of 2013132122101 is 1012212313102.

It can be written as a sum of positive squares in 4 ways, for example, as 683930654001 + 1329201468100 = 827001^2 + 1152910^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2013132122101 - 2⁵ = 2013132122069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013132122107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173271186 + ... + 173282803.

It is an arithmetic number, because the mean of its divisors is an integer number (260088769495).

Almost surely, 2^{2013132122101} is an apocalyptic number.

It is an amenable number.

2013132122101 is a deficient number, since it is larger than the sum of its proper divisors (67578033859).

2013132122101 is a wasteful number, since it uses less digits than its factorization.

2013132122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346554183.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2013132122101 its reverse (1012212313102), we get a palindrome (3025344435203).

The spelling of 2013132122101 in words is "two trillion, thirteen billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred one".