102333413 has 12 divisors (see below), whose sum is σ = 128198700. Its totient is φ = 80966592.

The previous prime is 102333403. The next prime is 102333437. The reversal of 102333413 is 314333201.

It can be written as a sum of positive squares in 2 ways, for example, as 53919649 + 48413764 = 7343^2 + 6958^2 .

It is not a de Polignac number, because 102333413 - 2¹⁴ = 102317029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102333403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79688 + ... + 80961.

It is an arithmetic number, because the mean of its divisors is an integer number (10683225).

Almost surely, 2^102333413 is an apocalyptic number.

102333413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102333413 is a deficient number, since it is larger than the sum of its proper divisors (25865287).

102333413 is a wasteful number, since it uses less digits than its factorization.

102333413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160676 (or 160669 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 102333413 is about 10115.9978746538. The cubic root of 102333413 is about 467.7414090584.

Adding to 102333413 its reverse (314333201), we get a palindrome (416666614).

The spelling of 102333413 in words is "one hundred two million, three hundred thirty-three thousand, four hundred thirteen".