131000511200 has 144 divisors (see below), whose sum is σ = 359380185696. Its totient is φ = 46266316800.

The previous prime is 131000511181. The next prime is 131000511251. The reversal of 131000511200 is 2115000131.

It is a super-2 number, since 2×131000511200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34631 + ... + 513030.

It is an arithmetic number, because the mean of its divisors is an integer number (2495695734).

Almost surely, 2^131000511200 is an apocalyptic number.

131000511200 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 131000511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179690092848).

131000511200 is an abundant number, since it is smaller than the sum of its proper divisors (228379674496).

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

131000511200 is a wasteful number, since it uses less digits than its factorization.

131000511200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547717 (or 547704 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 131000511200 its reverse (2115000131), we get a palindrome (133115511331).

The spelling of 131000511200 in words is "one hundred thirty-one billion, five hundred eleven thousand, two hundred".