131100120001440 has 144 divisors (see below), whose sum is σ = 447384108409056. Its totient is φ = 34959645273600.

The previous prime is 131100120001439. The next prime is 131100120001441. The reversal of 131100120001440 is 44100021001131.

131100120001440 is a `hidden beast` number, since 1 + 3 + 1 + 100 + 120 + 0 + 0 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (131100120001439) and next prime (131100120001441).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131100120001441) 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, 144138495 + ... + 145045185.

It is an arithmetic number, because the mean of its divisors is an integer number (3106834086174).

Almost surely, 2^{131100120001440} is an apocalyptic number.

131100120001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131100120001440 is an abundant number, since it is smaller than the sum of its proper divisors (316283988407616).

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

131100120001440 is a wasteful number, since it uses less digits than its factorization.

131100120001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007123 (or 1007112 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131100120001440 its reverse (44100021001131), we get a palindrome (175200141002571).

The spelling of 131100120001440 in words is "one hundred thirty-one trillion, one hundred billion, one hundred twenty million, one thousand, four hundred forty".