400013101 has 8 divisors (see below), whose sum is σ = 407879064. Its totient is φ = 392159040.

The previous prime is 400013083. The next prime is 400013113. The reversal of 400013101 is 101310004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35164900 + 364848201 = 5930^2 + 19101^2 .

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 400013101 - 2⁵ = 400013069 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 (400013161) 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, 97471 + ... + 101491.

It is an arithmetic number, because the mean of its divisors is an integer number (50984883).

Almost surely, 2^400013101 is an apocalyptic number.

It is an amenable number.

400013101 is a deficient number, since it is larger than the sum of its proper divisors (7865963).

400013101 is a wasteful number, since it uses less digits than its factorization.

400013101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 400013101 is about 20000.3275223182. The cubic root of 400013101 is about 736.8143437230.

Adding to 400013101 its reverse (101310004), we get a palindrome (501323105).

The spelling of 400013101 in words is "four hundred million, thirteen thousand, one hundred one".