1314211400 has 24 divisors (see below), whose sum is σ = 3055541970. Its totient is φ = 525684480.

The previous prime is 1314211397. The next prime is 1314211403. The reversal of 1314211400 is 41124131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1314211397) and next prime (1314211403).

It can be written as a sum of positive squares in 3 ways, for example, as 640393636 + 673817764 = 25306^2 + 25958^2 .

It is not an unprimeable number, because it can be changed into a prime (1314211403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3285329 + ... + 3285728.

Almost surely, 2^1314211400 is an apocalyptic number.

1314211400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314211400 is an abundant number, since it is smaller than the sum of its proper divisors (1741330570).

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

1314211400 is a wasteful number, since it uses less digits than its factorization.

1314211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571073 (or 6571064 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1314211400 is about 36252.0537349265. The cubic root of 1314211400 is about 1095.3554582247.

Adding to 1314211400 its reverse (41124131), we get a palindrome (1355335531).

It can be divided in two parts, 13142 and 11400, that added together give a palindrome (24542).

The spelling of 1314211400 in words is "one billion, three hundred fourteen million, two hundred eleven thousand, four hundred".