100401413 has 16 divisors (see below), whose sum is σ = 116852736. Its totient is φ = 84492720.

The previous prime is 100401407. The next prime is 100401487. The reversal of 100401413 is 314104001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100401413 - 2¹⁴ = 100385029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100401493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93920 + ... + 94982.

It is an arithmetic number, because the mean of its divisors is an integer number (7303296).

Almost surely, 2^100401413 is an apocalyptic number.

It is an amenable number.

100401413 is a deficient number, since it is larger than the sum of its proper divisors (16451323).

100401413 is a wasteful number, since it uses less digits than its factorization.

100401413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 100401413 is about 10020.0505487747. The cubic root of 100401413 is about 464.7791188976.

Adding to 100401413 its reverse (314104001), we get a palindrome (414505414).

The spelling of 100401413 in words is "one hundred million, four hundred one thousand, four hundred thirteen".