131133201100 has 72 divisors (see below), whose sum is σ = 311796168768. Its totient is φ = 47474644800.

The previous prime is 131133201079. The next prime is 131133201107. The reversal of 131133201100 is 1102331131.

It is not an unprimeable number, because it can be changed into a prime (131133201107) 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, 12882 + ... + 512281.

It is an arithmetic number, because the mean of its divisors is an integer number (4330502344).

Almost surely, 2^131133201100 is an apocalyptic number.

131133201100 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 131133201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155898084384).

131133201100 is an abundant number, since it is smaller than the sum of its proper divisors (180662967668).

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

131133201100 is a wasteful number, since it uses less digits than its factorization.

131133201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525415 (or 525408 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 131133201100 its reverse (1102331131), we get a palindrome (132235532231).

It can be divided in two parts, 131133 and 201100, that added together give a palindrome (332233).

The spelling of 131133201100 in words is "one hundred thirty-one billion, one hundred thirty-three million, two hundred one thousand, one hundred".