131013000000 has 294 divisors, whose sum is σ = 469432623998. Its totient is φ = 34934400000.

The previous prime is 131012999983. The next prime is 131013000011. The reversal of 131013000000 is 310131.

It can be written as a sum of positive squares in 7 ways, for example, as 124823716416 + 6189283584 = 353304^2 + 78672^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8992722 + ... + 9007278.

Almost surely, 2^131013000000 is an apocalyptic number.

131013000000 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 131013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234716311999).

131013000000 is an abundant number, since it is smaller than the sum of its proper divisors (338419623998).

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

131013000000 is an frugal number, since it uses more digits than its factorization.

131013000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14605 (or 14567 counting only the distinct ones).

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

Adding to 131013000000 its reverse (310131), we get a palindrome (131013310131).

The spelling of 131013000000 in words is "one hundred thirty-one billion, thirteen million", and thus it is an aban number.