131011012000 has 96 divisors (see below), whose sum is σ = 351157270464. Its totient is φ = 47640352000.

The previous prime is 131011011977. The next prime is 131011012009. The reversal of 131011012000 is 210110131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (131011012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444762 + ... + 1532761.

It is an arithmetic number, because the mean of its divisors is an integer number (3657888234).

Almost surely, 2^131011012000 is an apocalyptic number.

131011012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011012000 is an abundant number, since it is smaller than the sum of its proper divisors (220146258464).

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

131011012000 is a wasteful number, since it uses less digits than its factorization.

131011012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977559 (or 2977541 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 131011012000 its reverse (210110131), we get a palindrome (131221122131).

The spelling of 131011012000 in words is "one hundred thirty-one billion, eleven million, twelve thousand".