131110000320 has 448 divisors, whose sum is σ = 476354704896. Its totient is φ = 30266818560.

The previous prime is 131110000313. The next prime is 131110000339. The reversal of 131110000320 is 23000011131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131110000296 and 131110000305.

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, 70224027 + ... + 70225893.

It is an arithmetic number, because the mean of its divisors is an integer number (1063291752).

Almost surely, 2^131110000320 is an apocalyptic number.

131110000320 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 131110000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238177352448).

131110000320 is an abundant number, since it is smaller than the sum of its proper divisors (345244704576).

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

131110000320 is a wasteful number, since it uses less digits than its factorization.

131110000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131110000320 its reverse (23000011131), we get a palindrome (154110011451).

The spelling of 131110000320 in words is "one hundred thirty-one billion, one hundred ten million, three hundred twenty", and thus it is an aban number.