131516201100 has 144 divisors (see below), whose sum is σ = 409873766400. Its totient is φ = 32463974400.

The previous prime is 131516201083. The next prime is 131516201101. The reversal of 131516201100 is 1102615131.

It is a happy number.

It is a super-2 number, since 2×131516201100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131516201101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93525 + ... + 521324.

It is an arithmetic number, because the mean of its divisors is an integer number (2846345600).

Almost surely, 2^131516201100 is an apocalyptic number.

131516201100 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 131516201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204936883200).

131516201100 is an abundant number, since it is smaller than the sum of its proper divisors (278357565300).

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

131516201100 is a wasteful number, since it uses less digits than its factorization.

131516201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614920 (or 614913 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 131516201100 its reverse (1102615131), we get a palindrome (132618816231).

The spelling of 131516201100 in words is "one hundred thirty-one billion, five hundred sixteen million, two hundred one thousand, one hundred".