131013001320 has 128 divisors (see below), whose sum is σ = 400497402240. Its totient is φ = 34276746240.

The previous prime is 131013001307. The next prime is 131013001333. The reversal of 131013001320 is 23100310131.

It is an interprime number because it is at equal distance from previous prime (131013001307) and next prime (131013001333).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131013001320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2883499 + ... + 2928581.

It is an arithmetic number, because the mean of its divisors is an integer number (3128885955).

Almost surely, 2^131013001320 is an apocalyptic number.

131013001320 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 131013001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200248701120).

131013001320 is an abundant number, since it is smaller than the sum of its proper divisors (269484400920).

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

131013001320 is a wasteful number, since it uses less digits than its factorization.

131013001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45555 (or 45551 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131013001320 its reverse (23100310131), we get a palindrome (154113311451).

The spelling of 131013001320 in words is "one hundred thirty-one billion, thirteen million, one thousand, three hundred twenty".