1311010320 has 80 divisors (see below), whose sum is σ = 4086970560. Its totient is φ = 347638272.

The previous prime is 1311010313. The next prime is 1311010333. The reversal of 1311010320 is 230101131.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 1311010296 and 1311010305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27702 + ... + 58218.

It is an arithmetic number, because the mean of its divisors is an integer number (51087132).

Almost surely, 2^1311010320 is an apocalyptic number.

1311010320 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 1311010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043485280).

1311010320 is an abundant number, since it is smaller than the sum of its proper divisors (2775960240).

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

1311010320 is a wasteful number, since it uses less digits than its factorization.

1311010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30712 (or 30706 counting only the distinct ones).

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

The square root of 1311010320 is about 36207.8764911725. The cubic root of 1311010320 is about 1094.4654007247.

Adding to 1311010320 its reverse (230101131), we get a palindrome (1541111451).

The spelling of 1311010320 in words is "one billion, three hundred eleven million, ten thousand, three hundred twenty".