131318783100 has 864 divisors, whose sum is σ = 488565604800. Its totient is φ = 29262643200.

The previous prime is 131318783093. The next prime is 131318783171. The reversal of 131318783100 is 1387813131.

It is a happy number.

It is a super-2 number, since 2×131318783100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 311920890 + ... + 311921310.

It is an arithmetic number, because the mean of its divisors is an integer number (565469450).

Almost surely, 2^131318783100 is an apocalyptic number.

131318783100 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 131318783100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244282802400).

131318783100 is an abundant number, since it is smaller than the sum of its proper divisors (357246821700).

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

131318783100 is a wasteful number, since it uses less digits than its factorization.

131318783100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 131318783100 in words is "one hundred thirty-one billion, three hundred eighteen million, seven hundred eighty-three thousand, one hundred".