131111311100 has 144 divisors (see below), whose sum is σ = 354944115456. Its totient is φ = 40839552000.

The previous prime is 131111311091. The next prime is 131111311117. The reversal of 131111311100 is 1113111131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14417555 + ... + 14426645.

Almost surely, 2^131111311100 is an apocalyptic number.

131111311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131111311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177472057728).

131111311100 is an abundant number, since it is smaller than the sum of its proper divisors (223832804356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131111311100 is a wasteful number, since it uses less digits than its factorization.

131111311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10996 (or 10989 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 131111311100 its reverse (1113111131), we get a palindrome (132224422231).

It can be divided in two parts, 13111 and 1311100, that multiplied together give a square (17189832100 = 131110²).

The spelling of 131111311100 in words is "one hundred thirty-one billion, one hundred eleven million, three hundred eleven thousand, one hundred".