400102313 has 8 divisors (see below), whose sum is σ = 441389256. Its totient is φ = 360316800.

The previous prime is 400102303. The next prime is 400102321. The reversal of 400102313 is 313201004.

It can be written as a sum of positive squares in 4 ways, for example, as 582169 + 399520144 = 763^2 + 19988^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400102313 - 2¹⁴ = 400085929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400102303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374798 + ... + 375863.

It is an arithmetic number, because the mean of its divisors is an integer number (55173657).

Almost surely, 2^400102313 is an apocalyptic number.

It is an amenable number.

400102313 is a deficient number, since it is larger than the sum of its proper divisors (41286943).

400102313 is a wasteful number, since it uses less digits than its factorization.

400102313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750715.

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

The square root of 400102313 is about 20002.5576614592. The cubic root of 400102313 is about 736.8691150918.

Adding to 400102313 its reverse (313201004), we get a palindrome (713303317).

The spelling of 400102313 in words is "four hundred million, one hundred two thousand, three hundred thirteen".