131123311101 has 24 divisors (see below), whose sum is σ = 198657997824. Its totient is φ = 83243311200.

The previous prime is 131123311091. The next prime is 131123311103. The reversal of 131123311101 is 101113321131.

131123311101 is a `hidden beast` number, since 131 + 123 + 311 + 101 = 666.

It is not a de Polignac number, because 131123311101 - 2³⁵ = 96763572733 is a prime.

It is a super-3 number, since 3×131123311101³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123311103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4173325 + ... + 4204626.

It is an arithmetic number, because the mean of its divisors is an integer number (8277416576).

Almost surely, 2^131123311101 is an apocalyptic number.

It is an amenable number.

131123311101 is a deficient number, since it is larger than the sum of its proper divisors (67534686723).

131123311101 is a wasteful number, since it uses less digits than its factorization.

131123311101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8378041 (or 8378038 counting only the distinct ones).

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

Adding to 131123311101 its reverse (101113321131), we get a palindrome (232236632232).

The spelling of 131123311101 in words is "one hundred thirty-one billion, one hundred twenty-three million, three hundred eleven thousand, one hundred one".