201003434014131 has 32 divisors (see below), whose sum is σ = 352058559859200. Its totient is φ = 110898446349600.

The previous prime is 201003434014127. The next prime is 201003434014151. The reversal of 201003434014131 is 131410434300102.

201003434014131 is a `hidden beast` number, since 20 + 100 + 3 + 4 + 3 + 401 + 4 + 131 = 666.

It is not a de Polignac number, because 201003434014131 - 2² = 201003434014127 is a prime.

It is a super-2 number, since 2×201003434014131² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 201003434014095 and 201003434014104.

It is not an unprimeable number, because it can be changed into a prime (201003434014151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18336377845 + ... + 18336388806.

It is an arithmetic number, because the mean of its divisors is an integer number (11001829995600).

Almost surely, 2^{201003434014131} is an apocalyptic number.

201003434014131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201003434014131 is a deficient number, since it is larger than the sum of its proper divisors (151055125845069).

201003434014131 is a wasteful number, since it uses less digits than its factorization.

201003434014131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36672766696 (or 36672766690 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 201003434014131 its reverse (131410434300102), we get a palindrome (332413868314233).

The spelling of 201003434014131 in words is "two hundred one trillion, three billion, four hundred thirty-four million, fourteen thousand, one hundred thirty-one".