10202403414213 has 8 divisors (see below), whose sum is σ = 15114671724800. Its totient is φ = 6801602276124.

The previous prime is 10202403414169. The next prime is 10202403414239. The reversal of 10202403414213 is 31241430420201.

10202403414213 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 403 + 41 + 4 + 213 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-10202403414213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 377866793119 = 10202403414213 / (1 + 0 + 2 + 0 + 2 + 4 + 0 + 3 + 4 + 1 + 4 + 2 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202403434213) 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, 188933396533 + ... + 188933396586.

It is an arithmetic number, because the mean of its divisors is an integer number (1889333965600).

Almost surely, 2^{10202403414213} is an apocalyptic number.

It is an amenable number.

10202403414213 is a deficient number, since it is larger than the sum of its proper divisors (4912268310587).

10202403414213 is an equidigital number, since it uses as much as digits as its factorization.

10202403414213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377866793128 (or 377866793122 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10202403414213 its reverse (31241430420201), we get a palindrome (41443833834414).

The spelling of 10202403414213 in words is "ten trillion, two hundred two billion, four hundred three million, four hundred fourteen thousand, two hundred thirteen".