101033413 has 8 divisors (see below), whose sum is σ = 109769688. Its totient is φ = 92434944.

The previous prime is 101033381. The next prime is 101033417. The reversal of 101033413 is 314330101.

It can be written as a sum of positive squares in 4 ways, for example, as 91204 + 100942209 = 302^2 + 10047^2 .

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 101033413 - 2⁵ = 101033381 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 (101033417) 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, 32920 + ... + 35857.

It is an arithmetic number, because the mean of its divisors is an integer number (13721211).

Almost surely, 2^101033413 is an apocalyptic number.

101033413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101033413 is a deficient number, since it is larger than the sum of its proper divisors (8736275).

101033413 is a wasteful number, since it uses less digits than its factorization.

101033413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68903.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 101033413 is about 10051.5378425393. The cubic root of 101033413 is about 465.7522997912.

Adding to 101033413 its reverse (314330101), we get a palindrome (415363514).

The spelling of 101033413 in words is "one hundred one million, thirty-three thousand, four hundred thirteen".