1310081920 has 128 divisors (see below), whose sum is σ = 3767961600. Its totient is φ = 425502720.

The previous prime is 1310081893. The next prime is 1310081921. The reversal of 1310081920 is 291800131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1310081920² = 3432629274221772800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310081921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77425 + ... + 92815.

It is an arithmetic number, because the mean of its divisors is an integer number (29437200).

Almost surely, 2^1310081920 is an apocalyptic number.

1310081920 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 1310081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883980800).

1310081920 is an abundant number, since it is smaller than the sum of its proper divisors (2457879680).

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

1310081920 is a wasteful number, since it uses less digits than its factorization.

1310081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15436 (or 15424 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 1310081920 is about 36195.0538057343. The cubic root of 1310081920 is about 1094.2069889207.

The spelling of 1310081920 in words is "one billion, three hundred ten million, eighty-one thousand, nine hundred twenty".