131301000012 has 384 divisors, whose sum is σ = 431664629760. Its totient is φ = 30038999040.

The previous prime is 131300999987. The next prime is 131301000023. The reversal of 131301000012 is 210000103131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13045462 + ... + 13055522.

It is an arithmetic number, because the mean of its divisors is an integer number (1124126640).

Almost surely, 2^131301000012 is an apocalyptic number.

131301000012 is a gapful number since it is divisible by the number (12) 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 131301000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215832314880).

131301000012 is an abundant number, since it is smaller than the sum of its proper divisors (300363629748).

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

131301000012 is a wasteful number, since it uses less digits than its factorization.

131301000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10161 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131301000012 its reverse (210000103131), we get a palindrome (341301103143).

The spelling of 131301000012 in words is "one hundred thirty-one billion, three hundred one million, twelve", and thus it is an aban number.