1310123320 has 128 divisors (see below), whose sum is σ = 3307392000. Its totient is φ = 463034880.

The previous prime is 1310123317. The next prime is 1310123323. The reversal of 1310123320 is 233210131.

It is an interprime number because it is at equal distance from previous prime (1310123317) and next prime (1310123323).

It is a super-2 number, since 2×1310123320² = 3432846227215644800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310123294 and 1310123303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310123323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2829409 + ... + 2829871.

It is an arithmetic number, because the mean of its divisors is an integer number (25839000).

Almost surely, 2^1310123320 is an apocalyptic number.

1310123320 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 1310123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653696000).

1310123320 is an abundant number, since it is smaller than the sum of its proper divisors (1997268680).

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

1310123320 is a wasteful number, since it uses less digits than its factorization.

1310123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1310123320 is about 36195.6257025625. The cubic root of 1310123320 is about 1094.2185148392.

Adding to 1310123320 its reverse (233210131), we get a palindrome (1543333451).

The spelling of 1310123320 in words is "one billion, three hundred ten million, one hundred twenty-three thousand, three hundred twenty".