131133110100 has 72 divisors (see below), whose sum is σ = 380157647520. Its totient is φ = 34900087680.

The previous prime is 131133110071. The next prime is 131133110153. The reversal of 131133110100 is 1011331131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131133110100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276682 + ... + 582081.

Almost surely, 2^131133110100 is an apocalyptic number.

131133110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131133110100 is an abundant number, since it is smaller than the sum of its proper divisors (249024537420).

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

131133110100 is a wasteful number, since it uses less digits than its factorization.

131133110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859289 (or 859282 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 131133110100 its reverse (1011331131), we get a palindrome (132144441231).

It can be divided in two parts, 13113 and 3110100, that added together give a palindrome (3123213).

The spelling of 131133110100 in words is "one hundred thirty-one billion, one hundred thirty-three million, one hundred ten thousand, one hundred".