103200105421413 has 240 divisors, whose sum is σ = 210768721200576. Its totient is φ = 49466773923840.

The previous prime is 103200105421411. The next prime is 103200105421447. The reversal of 103200105421413 is 314124501002301.

103200105421413 is a `hidden beast` number, since 1 + 0 + 3 + 200 + 1 + 0 + 5 + 42 + 1 + 413 = 666.

It is not a de Polignac number, because 103200105421413 - 2¹ = 103200105421411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200105421411) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1471666170 + ... + 1471736292.

Almost surely, 2^{103200105421413} is an apocalyptic number.

103200105421413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103200105421413 is an abundant number, since it is smaller than the sum of its proper divisors (107568615779163).

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

103200105421413 is a wasteful number, since it uses less digits than its factorization.

103200105421413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72766 (or 72750 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 103200105421413 its reverse (314124501002301), we get a palindrome (417324606423714).

The spelling of 103200105421413 in words is "one hundred three trillion, two hundred billion, one hundred five million, four hundred twenty-one thousand, four hundred thirteen".