131034034320 has 160 divisors (see below), whose sum is σ = 464745492480. Its totient is φ = 29917693440.

The previous prime is 131034034297. The next prime is 131034034343. The reversal of 131034034320 is 23430430131.

It is an interprime number because it is at equal distance from previous prime (131034034297) and next prime (131034034343).

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

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, 1501485 + ... + 1586355.

It is an arithmetic number, because the mean of its divisors is an integer number (2904659328).

Almost surely, 2^131034034320 is an apocalyptic number.

131034034320 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 131034034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232372746240).

131034034320 is an abundant number, since it is smaller than the sum of its proper divisors (333711458160).

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

131034034320 is a wasteful number, since it uses less digits than its factorization.

131034034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85813 (or 85807 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 131034034320 its reverse (23430430131), we get a palindrome (154464464451).

The spelling of 131034034320 in words is "one hundred thirty-one billion, thirty-four million, thirty-four thousand, three hundred twenty".