201140434131 has 384 divisors, whose sum is σ = 389193154560. Its totient is φ = 91039334400.

The previous prime is 201140434111. The next prime is 201140434133. The reversal of 201140434131 is 131434041102.

It is not a de Polignac number, because 201140434131 - 2⁹ = 201140433619 is a prime.

It is a super-2 number, since 2×201140434131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201140434133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2073612675 + ... + 2073612771.

It is an arithmetic number, because the mean of its divisors is an integer number (1013523840).

Almost surely, 2^201140434131 is an apocalyptic number.

201140434131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201140434131 is a deficient number, since it is larger than the sum of its proper divisors (188052720429).

201140434131 is a wasteful number, since it uses less digits than its factorization.

201140434131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 201140434131 its reverse (131434041102), we get a palindrome (332574475233).

The spelling of 201140434131 in words is "two hundred one billion, one hundred forty million, four hundred thirty-four thousand, one hundred thirty-one".