131321106 has 96 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 35707392.

The previous prime is 131321101. The next prime is 131321131. The reversal of 131321106 is 601123131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131321101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303066 + ... + 303498.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^131321106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131321106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

131321106 is an abundant number, since it is smaller than the sum of its proper divisors (209907054).

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

131321106 is a wasteful number, since it uses less digits than its factorization.

131321106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131321106 is about 11459.5421374503. The cubic root of 131321106 is about 508.2899356543.

Adding to 131321106 its reverse (601123131), we get a palindrome (732444237).

The spelling of 131321106 in words is "one hundred thirty-one million, three hundred twenty-one thousand, one hundred six".