1311400213 has 24 divisors (see below), whose sum is σ = 1480415400. Its totient is φ = 1159216128.

The previous prime is 1311400199. The next prime is 1311400217. The reversal of 1311400213 is 3120041131.

It can be written as a sum of positive squares in 12 ways, for example, as 306320004 + 1005080209 = 17502^2 + 31703^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1311400213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311400217) 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 23 ways as a sum of consecutive naturals, for example, 307983 + ... + 312211.

It is an arithmetic number, because the mean of its divisors is an integer number (61683975).

Almost surely, 2^1311400213 is an apocalyptic number.

It is an amenable number.

1311400213 is a deficient number, since it is larger than the sum of its proper divisors (169015187).

1311400213 is a wasteful number, since it uses less digits than its factorization.

1311400213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1311400213 is about 36213.2601818726. The cubic root of 1311400213 is about 1094.5738875653.

Adding to 1311400213 its reverse (3120041131), we get a palindrome (4431441344).

The spelling of 1311400213 in words is "one billion, three hundred eleven million, four hundred thousand, two hundred thirteen".