2011101342131 has 8 divisors (see below), whose sum is σ = 2298422244960. Its totient is φ = 1723785617088.

The previous prime is 2011101342109. The next prime is 2011101342139. The reversal of 2011101342131 is 1312431011102.

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

It is a cyclic number.

It is not a de Polignac number, because 2011101342131 - 2⁶ = 2011101342067 is a prime.

It is a super-3 number, since 3×2011101342131³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011101342139) 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, 423026 + ... + 2049671.

It is an arithmetic number, because the mean of its divisors is an integer number (287302780620).

Almost surely, 2^{2011101342131} is an apocalyptic number.

2011101342131 is a deficient number, since it is larger than the sum of its proper divisors (287320902829).

2011101342131 is a wasteful number, since it uses less digits than its factorization.

2011101342131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588893.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2011101342131 its reverse (1312431011102), we get a palindrome (3323532353233).

The spelling of 2011101342131 in words is "two trillion, eleven billion, one hundred one million, three hundred forty-two thousand, one hundred thirty-one".