1313227400 has 48 divisors (see below), whose sum is σ = 3070207140. Its totient is φ = 522374400.

The previous prime is 1313227397. The next prime is 1313227429. The reversal of 1313227400 is 47223131.

1313227400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 279090436 + 1034136964 = 16706^2 + 32158^2 .

It is a super-2 number, since 2×1313227400² = 3449132408221520000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18062 + ... + 54338.

Almost surely, 2^1313227400 is an apocalyptic number.

1313227400 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 1313227400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535103570).

1313227400 is an abundant number, since it is smaller than the sum of its proper divisors (1756979740).

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

1313227400 is a wasteful number, since it uses less digits than its factorization.

1313227400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36474 (or 36465 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 1313227400 is about 36238.4795486786. The cubic root of 1313227400 is about 1095.0820118860.

The spelling of 1313227400 in words is "one billion, three hundred thirteen million, two hundred twenty-seven thousand, four hundred".