131142400130000 has 100 divisors (see below), whose sum is σ = 362867274427680. Its totient is φ = 44963108592000.

The previous prime is 131142400129997. The next prime is 131142400130003. The reversal of 131142400130000 is 31004241131.

It is an interprime number because it is at equal distance from previous prime (131142400129997) and next prime (131142400130003).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-5 number, since 5×131142400130000⁵ (a number of 72 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142400130003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 936661430 + ... + 936801429.

Almost surely, 2^{131142400130000} is an apocalyptic number.

131142400130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142400130000 is an abundant number, since it is smaller than the sum of its proper divisors (231724874297680).

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

131142400130000 is an equidigital number, since it uses as much as digits as its factorization.

131142400130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873462894 (or 1873462873 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131142400130000 its reverse (31004241131), we get a palindrome (131173404371131).

The spelling of 131142400130000 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred million, one hundred thirty thousand".