131313323313000 has 256 divisors, whose sum is σ = 455234229216000. Its totient is φ = 35015754816000.

The previous prime is 131313323312959. The next prime is 131313323313013. The reversal of 131313323313000 is 313323313131.

131313323313000 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 3 + 323 + 31 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1144175620 + ... + 1144290380.

It is an arithmetic number, because the mean of its divisors is an integer number (1778258707875).

Almost surely, 2^{131313323313000} is an apocalyptic number.

131313323313000 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 131313323313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227617114608000).

131313323313000 is an abundant number, since it is smaller than the sum of its proper divisors (323920905903000).

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

131313323313000 is a wasteful number, since it uses less digits than its factorization.

131313323313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157170 (or 157150 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 131313323313000 its reverse (313323313131), we get a palindrome (131626646626131).

The spelling of 131313323313000 in words is "one hundred thirty-one trillion, three hundred thirteen billion, three hundred twenty-three million, three hundred thirteen thousand".