131412310000000 has 128 divisors (see below), whose sum is σ = 327246638808960. Its totient is φ = 52564920000000.

The previous prime is 131412309999979. The next prime is 131412310000007. The reversal of 131412310000000 is 13214131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×131412310000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131412310000007) 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, 3429385 + ... + 16570615.

It is an arithmetic number, because the mean of its divisors is an integer number (2556614365695).

Almost surely, 2^{131412310000000} is an apocalyptic number.

131412310000000 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 131412310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163623319404480).

131412310000000 is an abundant number, since it is smaller than the sum of its proper divisors (195834328808960).

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

131412310000000 is an frugal number, since it uses more digits than its factorization.

131412310000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13141280 (or 13141238 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131412310000000 its reverse (13214131), we get a palindrome (131412323214131).

The spelling of 131412310000000 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred ten million", and thus it is an aban number.