201424313129 has 24 divisors (see below), whose sum is σ = 219850374744. Its totient is φ = 184451904000.

The previous prime is 201424313117. The next prime is 201424313149. The reversal of 201424313129 is 921313424102.

It can be written as a sum of positive squares in 12 ways, for example, as 163338839104 + 38085474025 = 404152^2 + 195155^2 .

It is not a de Polignac number, because 201424313129 - 2²⁸ = 201155877673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201424313095 and 201424313104.

It is not an unprimeable number, because it can be changed into a prime (201424313149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12870149 + ... + 12885789.

It is an arithmetic number, because the mean of its divisors is an integer number (9160432281).

Almost surely, 2^201424313129 is an apocalyptic number.

It is an amenable number.

201424313129 is a deficient number, since it is larger than the sum of its proper divisors (18426061615).

201424313129 is a wasteful number, since it uses less digits than its factorization.

201424313129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16269 (or 16256 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 201424313129 in words is "two hundred one billion, four hundred twenty-four million, three hundred thirteen thousand, one hundred twenty-nine".