131101004014340 has 144 divisors (see below), whose sum is σ = 294607681261488. Its totient is φ = 48989433028608.

The previous prime is 131101004014327. The next prime is 131101004014349. The reversal of 131101004014340 is 43410400101131.

It can be written as a sum of positive squares in 8 ways, for example, as 46467480690436 + 84633523323904 = 6816706^2 + 9199648^2 .

It is not an unprimeable number, because it can be changed into a prime (131101004014349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2758081214 + ... + 2758128746.

It is an arithmetic number, because the mean of its divisors is an integer number (2045886675427).

Almost surely, 2^{131101004014340} is an apocalyptic number.

131101004014340 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 131101004014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147303840630744).

131101004014340 is an abundant number, since it is smaller than the sum of its proper divisors (163506677247148).

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

131101004014340 is a wasteful number, since it uses less digits than its factorization.

131101004014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52886 (or 52865 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 131101004014340 its reverse (43410400101131), we get a palindrome (174511404115471).

The spelling of 131101004014340 in words is "one hundred thirty-one trillion, one hundred one billion, four million, fourteen thousand, three hundred forty".