1002400313 has 2 divisors, whose sum is σ = 1002400314. Its totient is φ = 1002400312.

The previous prime is 1002400277. The next prime is 1002400327. The reversal of 1002400313 is 3130042001.

1002400313 = 22387² + 22388².

It is an a-pointer prime, because the next prime (1002400327) can be obtained adding 1002400313 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 501222544 + 501177769 = 22388^2 + 22387^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002400313 - 2¹⁰ = 1002399289 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002480313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501200156 + 501200157.

It is an arithmetic number, because the mean of its divisors is an integer number (501200157).

Almost surely, 2^1002400313 is an apocalyptic number.

1002400313 is the 22388-th centered square number.

It is an amenable number.

1002400313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002400313 is an equidigital number, since it uses as much as digits as its factorization.

1002400313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1002400313 is about 31660.7061355239. The cubic root of 1002400313 is about 1000.7994650187.

Adding to 1002400313 its reverse (3130042001), we get a palindrome (4132442314).

The spelling of 1002400313 in words is "one billion, two million, four hundred thousand, three hundred thirteen".