101413314 has 12 divisors (see below), whose sum is σ = 219728886. Its totient is φ = 33804432.

The previous prime is 101413309. The next prime is 101413339. The reversal of 101413314 is 413314101.

It can be written as a sum of positive squares in only one way, i.e., 99500625 + 1912689 = 9975^2 + 1383^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5634073 = 101413314 / (1 + 0 + 1 + 4 + 1 + 3 + 3 + 1 + 4).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2817019 + ... + 2817054.

Almost surely, 2^101413314 is an apocalyptic number.

101413314 is an abundant number, since it is smaller than the sum of its proper divisors (118315572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101413314 is a wasteful number, since it uses less digits than its factorization.

101413314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5634081 (or 5634078 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101413314 is about 10070.4177669052. The cubic root of 101413314 is about 466.3353361282.

Adding to 101413314 its reverse (413314101), we get a palindrome (514727415).

It can be divided in two parts, 101 and 413314, that multiplied together give a palindrome (41744714).

The spelling of 101413314 in words is "one hundred one million, four hundred thirteen thousand, three hundred fourteen".