131310010333320 has 1024 divisors, whose sum is σ = 500484870144000. Its totient is φ = 26825984704512.

The previous prime is 131310010333211. The next prime is 131310010333321. The reversal of 131310010333320 is 23333010013131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131310010333321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47455730577 + ... + 47455733343.

It is an arithmetic number, because the mean of its divisors is an integer number (488754756000).

Almost surely, 2^{131310010333320} is an apocalyptic number.

131310010333320 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 131310010333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250242435072000).

131310010333320 is an abundant number, since it is smaller than the sum of its proper divisors (369174859810680).

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

131310010333320 is a wasteful number, since it uses less digits than its factorization.

131310010333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 131310010333320 its reverse (23333010013131), we get a palindrome (154643020346451).

The spelling of 131310010333320 in words is "one hundred thirty-one trillion, three hundred ten billion, ten million, three hundred thirty-three thousand, three hundred twenty".