101413701 has 10 divisors (see below), whose sum is σ = 151494662. Its totient is φ = 67609080.

The previous prime is 101413699. The next prime is 101413729. The reversal of 101413701 is 107314101.

It can be written as a sum of positive squares in only one way, i.e., 100520676 + 893025 = 10026^2 + 945^2 .

It is not a de Polignac number, because 101413701 - 2¹ = 101413699 is a prime.

It is a super-3 number, since 3×101413701³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101413001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 625930 + ... + 626091.

Almost surely, 2^101413701 is an apocalyptic number.

It is an amenable number.

101413701 is a deficient number, since it is larger than the sum of its proper divisors (50080961).

101413701 is an equidigital number, since it uses as much as digits as its factorization.

101413701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252033 (or 1252024 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 101413701 is about 10070.4369815813. The cubic root of 101413701 is about 466.3359293164.

Adding to 101413701 its reverse (107314101), we get a palindrome (208727802).

The spelling of 101413701 in words is "one hundred one million, four hundred thirteen thousand, seven hundred one".