100214513 has 16 divisors (see below), whose sum is σ = 117066624. Its totient is φ = 84015360.

The previous prime is 100214501. The next prime is 100214533. The reversal of 100214513 is 315412001.

It is a cyclic number.

It is not a de Polignac number, because 100214513 - 2¹⁰ = 100213489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100214491 and 100214500.

It is not an unprimeable number, because it can be changed into a prime (100214533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72953 + ... + 74313.

It is an arithmetic number, because the mean of its divisors is an integer number (7316664).

Almost surely, 2^100214513 is an apocalyptic number.

It is an amenable number.

100214513 is a deficient number, since it is larger than the sum of its proper divisors (16852111).

100214513 is a wasteful number, since it uses less digits than its factorization.

100214513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 100214513 is about 10010.7199041827. The cubic root of 100214513 is about 464.4905400405.

Adding to 100214513 its reverse (315412001), we get a palindrome (415626514).

The spelling of 100214513 in words is "one hundred million, two hundred fourteen thousand, five hundred thirteen".