131012100000 has 288 divisors, whose sum is σ = 477627554880. Its totient is φ = 34935840000.

The previous prime is 131012099987. The next prime is 131012100013. The reversal of 131012100000 is 1210131.

It is an interprime number because it is at equal distance from previous prime (131012099987) and next prime (131012100013).

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 2675739 + ... + 2724261.

It is an arithmetic number, because the mean of its divisors is an integer number (1658429010).

Almost surely, 2^131012100000 is an apocalyptic number.

131012100000 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 131012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238813777440).

131012100000 is an abundant number, since it is smaller than the sum of its proper divisors (346615454880).

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

131012100000 is an frugal number, since it uses more digits than its factorization.

131012100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48567 (or 48533 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 131012100000 its reverse (1210131), we get a palindrome (131013310131).

The spelling of 131012100000 in words is "one hundred thirty-one billion, twelve million, one hundred thousand".