131313323313210 has 128 divisors (see below), whose sum is σ = 331990534656000. Its totient is φ = 33194948596992.

The previous prime is 131313323313197. The next prime is 131313323313281. The reversal of 131313323313210 is 12313323313131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6965889 + ... + 17639451.

It is an arithmetic number, because the mean of its divisors is an integer number (2593676052000).

Almost surely, 2^{131313323313210} is an apocalyptic number.

131313323313210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131313323313210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165995267328000).

131313323313210 is an abundant number, since it is smaller than the sum of its proper divisors (200677211342790).

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

131313323313210 is a wasteful number, since it uses less digits than its factorization.

131313323313210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10673860.

The product of its (nonzero) digits is 8748, while the sum is 30.

Adding to 131313323313210 its reverse (12313323313131), we get a palindrome (143626646626341).

The spelling of 131313323313210 in words is "one hundred thirty-one trillion, three hundred thirteen billion, three hundred twenty-three million, three hundred thirteen thousand, two hundred ten".