131313331301320 has 256 divisors, whose sum is σ = 361236661632000. Its totient is φ = 41934450622464.

The previous prime is 131313331301281. The next prime is 131313331301323. The reversal of 131313331301320 is 23103133313131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (131313331301323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 435155932 + ... + 435457588.

It is an arithmetic number, because the mean of its divisors is an integer number (1411080709500).

Almost surely, 2^{131313331301320} is an apocalyptic number.

131313331301320 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 131313331301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180618330816000).

131313331301320 is an abundant number, since it is smaller than the sum of its proper divisors (229923330330680).

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

131313331301320 is a wasteful number, since it uses less digits than its factorization.

131313331301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302640 (or 302636 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 131313331301320 its reverse (23103133313131), we get a palindrome (154416464614451).

The spelling of 131313331301320 in words is "one hundred thirty-one trillion, three hundred thirteen billion, three hundred thirty-one million, three hundred one thousand, three hundred twenty".