131020312000 has 224 divisors, whose sum is σ = 334743552000. Its totient is φ = 50769331200.

The previous prime is 131020311973. The next prime is 131020312019. The reversal of 131020312000 is 213020131.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43686501 + ... + 43689499.

Almost surely, 2^131020312000 is an apocalyptic number.

131020312000 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 131020312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167371776000).

131020312000 is an abundant number, since it is smaller than the sum of its proper divisors (203723240000).

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

131020312000 is a wasteful number, since it uses less digits than its factorization.

131020312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 131020312000 its reverse (213020131), we get a palindrome (131233332131).

The spelling of 131020312000 in words is "one hundred thirty-one billion, twenty million, three hundred twelve thousand".