2541335131101 has 32 divisors (see below), whose sum is σ = 3910665265920. Its totient is φ = 1455473124864.

The previous prime is 2541335131091. The next prime is 2541335131157. The reversal of 2541335131101 is 1011315331452.

It is not a de Polignac number, because 2541335131101 - 2²² = 2541330936797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541335132101) 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, 38252616 + ... + 38318993.

It is an arithmetic number, because the mean of its divisors is an integer number (122208289560).

Almost surely, 2^{2541335131101} is an apocalyptic number.

It is an amenable number.

2541335131101 is a deficient number, since it is larger than the sum of its proper divisors (1369330134819).

2541335131101 is a wasteful number, since it uses less digits than its factorization.

2541335131101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76571685.

The product of its (nonzero) digits is 5400, while the sum is 30.

It can be divided in two parts, 25413351 and 31101, that added together give a palindrome (25444452).

The spelling of 2541335131101 in words is "two trillion, five hundred forty-one billion, three hundred thirty-five million, one hundred thirty-one thousand, one hundred one".