131000310 has 96 divisors (see below), whose sum is σ = 391210560. Its totient is φ = 29793024.

The previous prime is 131000293. The next prime is 131000321. The reversal of 131000310 is 13000131.

It is a super-2 number, since 2×131000310² = 34322162440192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 131000292 and 131000301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169084 + ... + 169856.

It is an arithmetic number, because the mean of its divisors is an integer number (4075110).

Almost surely, 2^131000310 is an apocalyptic number.

131000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131000310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195605280).

131000310 is an abundant number, since it is smaller than the sum of its proper divisors (260210250).

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

131000310 is a wasteful number, since it uses less digits than its factorization.

131000310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 131000310 is about 11445.5366846645. The cubic root of 131000310 is about 507.8757084271.

Adding to 131000310 its reverse (13000131), we get a palindrome (144000441).

The spelling of 131000310 in words is "one hundred thirty-one million, three hundred ten", and thus it is an aban number.