131010212312320 has 288 divisors, whose sum is σ = 347406347844864. Its totient is φ = 46935800217600.

The previous prime is 131010212312303. The next prime is 131010212312341. The reversal of 131010212312320 is 23213212010131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131010212312291 and 131010212312300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432495714 + ... + 1432587166.

It is an arithmetic number, because the mean of its divisors is an integer number (1206272041128).

Almost surely, 2^{131010212312320} is an apocalyptic number.

131010212312320 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 131010212312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173703173922432).

131010212312320 is an abundant number, since it is smaller than the sum of its proper divisors (216396135532544).

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

131010212312320 is a wasteful number, since it uses less digits than its factorization.

131010212312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92989 (or 92975 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 131010212312320 its reverse (23213212010131), we get a palindrome (154223424322451).

The spelling of 131010212312320 in words is "one hundred thirty-one trillion, ten billion, two hundred twelve million, three hundred twelve thousand, three hundred twenty".