131413314133420 has 48 divisors (see below), whose sum is σ = 305549328526848. Its totient is φ = 47073425952960.

The previous prime is 131413314133373. The next prime is 131413314133433. The reversal of 131413314133420 is 24331413314131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4457696052 + ... + 4457725531.

It is an arithmetic number, because the mean of its divisors is an integer number (6365611010976).

Almost surely, 2^{131413314133420} is an apocalyptic number.

131413314133420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413314133420 is an abundant number, since it is smaller than the sum of its proper divisors (174136014393428).

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

131413314133420 is a wasteful number, since it uses less digits than its factorization.

131413314133420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8915421670 (or 8915421668 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 131413314133420 its reverse (24331413314131), we get a palindrome (155744727447551).

The spelling of 131413314133420 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred fourteen million, one hundred thirty-three thousand, four hundred twenty".