2301131311101 has 96 divisors (see below), whose sum is σ = 3847516028928. Its totient is φ = 1298156895360.

The previous prime is 2301131311091. The next prime is 2301131311121. The reversal of 2301131311101 is 1011131311032.

2301131311101 is a `hidden beast` number, since 230 + 11 + 313 + 1 + 110 + 1 = 666.

It is not a de Polignac number, because 2301131311101 - 2¹⁴ = 2301131294717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301131311121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1760620090 + ... + 1760621396.

It is an arithmetic number, because the mean of its divisors is an integer number (40078291968).

Almost surely, 2^{2301131311101} is an apocalyptic number.

2301131311101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2301131311101 is a deficient number, since it is larger than the sum of its proper divisors (1546384717827).

2301131311101 is a wasteful number, since it uses less digits than its factorization.

2301131311101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 2301131311101 its reverse (1011131311032), we get a palindrome (3312262622133).

The spelling of 2301131311101 in words is "two trillion, three hundred one billion, one hundred thirty-one million, three hundred eleven thousand, one hundred one".