131413111400000 has 168 divisors, whose sum is σ = 337184760747240. Its totient is φ = 50752647680000.

The previous prime is 131413111399883. The next prime is 131413111400003. The reversal of 131413111400000 is 4111314131.

It can be written as a sum of positive squares in 12 ways, for example, as 130886047015936 + 527064384064 = 11440544^2 + 725992^2 .

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

It is not an unprimeable number, because it can be changed into a prime (131413111400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5528717 + ... + 17128716.

It is an arithmetic number, because the mean of its divisors is an integer number (2007052147305).

Almost surely, 2^{131413111400000} is an apocalyptic number.

131413111400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413111400000 is an abundant number, since it is smaller than the sum of its proper divisors (205771649347240).

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

131413111400000 is an frugal number, since it uses more digits than its factorization.

131413111400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22657499 (or 22657469 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 131413111400000 its reverse (4111314131), we get a palindrome (131417222714131).

The spelling of 131413111400000 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred eleven million, four hundred thousand".