1022400313 has 16 divisors (see below), whose sum is σ = 1150192512. Its totient is φ = 900720000.

The previous prime is 1022400311. The next prime is 1022400341. The reversal of 1022400313 is 3130042201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1022400313 - 2¹ = 1022400311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022400311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60595 + ... + 75607.

It is an arithmetic number, because the mean of its divisors is an integer number (71887032).

Almost surely, 2^1022400313 is an apocalyptic number.

It is an amenable number.

1022400313 is a deficient number, since it is larger than the sum of its proper divisors (127792199).

1022400313 is a wasteful number, since it uses less digits than its factorization.

1022400313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15216.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1022400313 is about 31974.9951211881. The cubic root of 1022400313 is about 1007.4117019576.

Adding to 1022400313 its reverse (3130042201), we get a palindrome (4152442514).

The spelling of 1022400313 in words is "one billion, twenty-two million, four hundred thousand, three hundred thirteen".