400101313 has 8 divisors (see below), whose sum is σ = 425085480. Its totient is φ = 375863040.

The previous prime is 400101311. The next prime is 400101319. The reversal of 400101313 is 313101004.

It can be written as a sum of positive squares in 4 ways, for example, as 168818049 + 231283264 = 12993^2 + 15208^2 .

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 400101313 - 2¹ = 400101311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 400101293 and 400101302.

It is not an unprimeable number, because it can be changed into a prime (400101311) 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, 185368 + ... + 187513.

It is an arithmetic number, because the mean of its divisors is an integer number (53135685).

Almost surely, 2^400101313 is an apocalyptic number.

It is an amenable number.

400101313 is a deficient number, since it is larger than the sum of its proper divisors (24984167).

400101313 is a wasteful number, since it uses less digits than its factorization.

400101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372947.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 400101313 is about 20002.5326646402. The cubic root of 400101313 is about 736.8685011907.

Adding to 400101313 its reverse (313101004), we get a palindrome (713202317).

The spelling of 400101313 in words is "four hundred million, one hundred one thousand, three hundred thirteen".