1311301280 has 48 divisors (see below), whose sum is σ = 3100170024. Its totient is φ = 524144640.

The previous prime is 1311301279. The next prime is 1311301291. The reversal of 1311301280 is 821031131.

It can be written as a sum of positive squares in 4 ways, for example, as 1003368976 + 307932304 = 31676^2 + 17548^2 .

It is a super-4 number, since 4×1311301280⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363164 + ... + 366756.

Almost surely, 2^1311301280 is an apocalyptic number.

1311301280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311301280 is an abundant number, since it is smaller than the sum of its proper divisors (1788868744).

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

1311301280 is a wasteful number, since it uses less digits than its factorization.

1311301280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1311301280 is about 36211.8941785707. The cubic root of 1311301280 is about 1094.5463617191.

The spelling of 1311301280 in words is "one billion, three hundred eleven million, three hundred one thousand, two hundred eighty".